{"id":94749,"date":"2026-03-30T23:03:08","date_gmt":"2026-03-30T17:33:08","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=94749"},"modified":"2026-03-30T23:03:10","modified_gmt":"2026-03-30T17:33:10","slug":"lcm-hcf-questions-for-ssc-exams","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/","title":{"rendered":"LCM HCF Questions for SSC Exams, Practice Questions with Solutions"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#Download_LCM_HCF_Questions_PDF\" >Download LCM &amp; HCF Questions PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#LCM_HCF_Questions\" >LCM &amp; HCF Questions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#Sign_Up\" >Sign Up<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#Login\" >Login<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#Forgot_Password\" >Forgot Password<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#i\" >&nbsp;<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#What_are_LCM_and_HCF_in_SSC_Exams\" >What are LCM and HCF in SSC Exams?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#Difference_Between_LCM_and_HCF\" >Difference Between LCM and HCF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#LCM_and_HCF_for_SSC_Exams_-FAQs\" >LCM and HCF for SSC Exams -FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>LCM and HCF are important topics in the Quantitative Aptitude section of exams like SSC CGL, SSC CHSL, SSC MTS, Banking, and Railways. These topics test your understanding of basic number properties and are commonly asked in various forms. In this blog, we\u2019ve shared LCM and HCF questions that will help you practice and strengthen your preparation for upcoming competitive exams.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-download-lcm-amp-hcf-questions-pdf\"><span class=\"ez-toc-section\" id=\"Download_LCM_HCF_Questions_PDF\"><\/span><strong>Download LCM &amp; HCF Questions PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Download the LCM &amp; HCF Questions PDF to boost your preparation for SSC exams. This eBook contains 100 LCM &amp; HCF questions. The complete PDF can be downloaded from the link given below.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/lcm-and-hcf-questions-pdf\/?ref=contmk-blog-lhq\" target=\"_blank\" rel=\"noreferrer noopener\">Download LCM &amp; HCF Questions PDF<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-lcm-amp-hcf-questions\"><span class=\"ez-toc-section\" id=\"LCM_HCF_Questions\"><\/span><strong>LCM &amp; HCF Questions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Practice important LCM and HCF questions designed as per the <a href=\"https:\/\/www.oliveboard.in\/ssc-cgl\/?ref=contan-ssc\" target=\"_blank\" rel=\"noreferrer noopener\">SSC<\/a> exam pattern. These will help you improve speed, accuracy, and overall exam performance.<\/p>\n\n\n\n<!DOCTYPE html>\n<html lang=\"en\">\n<head>\n<meta charset=\"UTF-8\">\n<link rel=\"stylesheet\" href=\"https:\/\/courses.oliveboard.in\/edge\/css\/login-modal-for-blog.css\">\n\n<style>\n#quiz-1-sticky-header {\n  position: sticky;\n  top: 0;\n  z-index: 100;\n  background: #1565c0;\n  color: #fff;\n  padding: 12px 20px;\n  border-radius: 10px 10px 0 0;\n  display: flex;\n  justify-content: space-between;\n  align-items: center;\n  font-size: 16px;\n  font-weight: bold;\n  box-shadow: 0 2px 8px rgba(0,0,0,0.2);\n  margin: -20px -20px 20px -20px;\n}\n\n#quiz-1-score-badge {\n  background: rgba(255,255,255,0.2);\n  padding: 4px 12px;\n  border-radius: 20px;\n  font-size: 15px;\n  white-space: nowrap;\n}\n#quiz-1 * { box-sizing: border-box; }\n\n#quiz-1 .quiz-container {\n  max-width: 700px;\n  margin: auto;\n  padding: 20px;\n  background: #fff;\n  border-radius: 14px;\n  box-shadow: 0 6px 16px rgba(0,0,0,0.12);\n}\n\n#quiz-1 h2 {\n  text-align: center;\n}\n\n#quiz-1 .question {\n  margin-bottom: 22px;\n}\n\n#quiz-1 .question p {\n  font-weight: bold;\n}\n\n#quiz-1 button {\n  width: 100%;\n  padding: 12px;\n  margin: 6px 0;\n  border: none;\n  border-radius: 6px;\n  background: #e0e0e0;\n  color: #000;\n  font-size: 16px;\n  cursor: pointer;\n}\n\n#quiz-1 button:hover {\n  background: #d5d5d5;\n}\n\n#quiz-1 button.correct {\n  background: #4caf50;\n  color: #000;\n}\n\n#quiz-1 button.wrong {\n  background: #f44336;\n  color: #000;\n}\n\n#quiz-1 button.locked {\n  pointer-events: none;\n}\n\n\/* SUMMARY *\/\n#quiz-1 .final-summary {\n  margin-top: 40px;\n  padding: 20px;\n  border-radius: 14px;\n  background: #fafafa;\n  border: 2px solid #4caf50;\n}\n\n#quiz-1 .final-summary h3 {\n  text-align: center;\n  margin-bottom: 20px;\n}\n\n#quiz-1 .summary-row {\n  display: grid;\n  grid-template-columns: 120px 1fr 40px;\n  gap: 10px;\n  align-items: center;\n  margin-bottom: 12px;\n  font-weight: bold;\n}\n\n#quiz-1 .summary-bar {\n  height: 14px;\n  background: #ddd;\n  border-radius: 10px;\n  overflow: hidden;\n}\n\n#quiz-1 .bar-fill {\n  height: 100%;\n  width: 0%;\n}\n\n#quiz-1 .bar-attempted { background: #2196f3; }\n#quiz-1 .bar-correct { background: #4caf50; }\n#quiz-1 .bar-wrong { background: #f44336; }\n#quiz-1 .bar-unattempted { background: #9e9e9e; width: 100%; }\n\n#quiz-1 .final-score {\n  text-align: center;\n  font-size: 22px;\n  margin-top: 20px;\n}\n\n#quiz-1 .score-value {\n  font-size: 30px;\n  margin-left: 8px;\n}\n<\/style>\n<\/head>\n\n<body>\n<div id=\"quiz-1\">\n  <div class=\"quiz-container\">\n<div id=\"quiz-1-sticky-header\">\n  <span>LCM &#038; HCF Quiz Questions for SSC Exams<\/span>\n  <span id=\"quiz-1-score-badge\">Score: <strong id=\"quiz-1-score-value\">0.00<\/strong><\/span>\n<\/div>\n\n    <!-- QUESTIONS -->\n\n<div class=\"question\" data-answered=\"false\">\n  <p>1. The LCM of two numbers is 1680 and their HCF is 24. If one number is 240, find the other number.<\/p>\n  <button data-correct=\"true\">a) 168<\/button>\n  <button data-correct=\"false\">b) 120<\/button>\n  <button data-correct=\"false\">c) 252<\/button>\n  <button data-correct=\"false\">d) 180<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>2. The HCF and LCM of two numbers are 18 and 270 respectively. If one number is 90, what is the other number?<\/p>\n  <button data-correct=\"false\">a) 36<\/button>\n  <button data-correct=\"false\">b) 45<\/button>\n  <button data-correct=\"true\">c) 54<\/button>\n  <button data-correct=\"false\">d) 60<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>3. Find the greatest number which exactly divides 112, 168, and 280.<\/p>\n  <button data-correct=\"false\">a) 14<\/button>\n  <button data-correct=\"false\">b) 28<\/button>\n  <button data-correct=\"true\">c) 56<\/button>\n  <button data-correct=\"false\">d) 84<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>4. The LCM of two numbers is 480 and their product is 23040. What is their HCF?<\/p>\n  <button data-correct=\"true\">a) 48<\/button>\n  <button data-correct=\"false\">b) 36<\/button>\n  <button data-correct=\"false\">c) 64<\/button>\n  <button data-correct=\"false\">d) 60<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>5. The HCF of two numbers is 17, and their LCM is 714. If one number is 119, find the other.<\/p>\n  <button data-correct=\"true\">a) 102<\/button>\n  <button data-correct=\"false\">b) 85<\/button>\n  <button data-correct=\"false\">c) 107<\/button>\n  <button data-correct=\"false\">d) 119<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>6. What is the least number which when divided by 5, 6, 7, and 8 leaves a remainder of 3 in each case but is divisible by 9?<\/p>\n  <button data-correct=\"true\">a) 1683<\/button>\n  <button data-correct=\"false\">b) 1173<\/button>\n  <button data-correct=\"false\">c) 2513<\/button>\n  <button data-correct=\"false\">d) 3363<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>7. Find the HCF of 510 and 892 using the Euclidean method.<\/p>\n  <button data-correct=\"false\">a) 18<\/button>\n  <button data-correct=\"false\">b) 34<\/button>\n  <button data-correct=\"true\">c) 2<\/button>\n  <button data-correct=\"false\">d) 26<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>8. The HCF of two numbers is 8, and their product is 3072. What is their LCM?<\/p>\n  <button data-correct=\"true\">a) 384<\/button>\n  <button data-correct=\"false\">b) 256<\/button>\n  <button data-correct=\"false\">c) 512<\/button>\n  <button data-correct=\"false\">d) 192<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>9. The least number which when divided by 12, 15, 18, and 30 leaves a remainder 4 in each case is:<\/p>\n  <button data-correct=\"false\">a) 544<\/button>\n  <button data-correct=\"true\">b) 364<\/button>\n  <button data-correct=\"false\">c) 724<\/button>\n  <button data-correct=\"false\">d) 454<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>10. Two numbers are in the ratio 3:4 and their LCM is 240. Find the numbers.<\/p>\n  <button data-correct=\"true\">a) 60, 80<\/button>\n  <button data-correct=\"false\">b) 45, 60<\/button>\n  <button data-correct=\"false\">c) 30, 40<\/button>\n  <button data-correct=\"false\">d) 24, 32<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>11. The LCM and HCF of two numbers are 180 and 6 respectively. If one number is 30, what is the other?<\/p>\n  <button data-correct=\"false\">a) 24<\/button>\n  <button data-correct=\"true\">b) 36<\/button>\n  <button data-correct=\"false\">c) 42<\/button>\n  <button data-correct=\"false\">d) 48<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>12. Find the smallest number which when increased by 7 is divisible by 24, 36, and 54.<\/p>\n  <button data-correct=\"true\">c) 425<\/button>\n  <button data-correct=\"false\">a) 431<\/button>\n  <button data-correct=\"false\">b) 433<\/button>\n  <button data-correct=\"false\">d) 427<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>13. Find the greatest number that divides 187, 233, and 325 leaving the same remainder in each case.<\/p>\n  <button data-correct=\"true\">a) 46<\/button>\n  <button data-correct=\"false\">b) 24<\/button>\n  <button data-correct=\"false\">c) 18<\/button>\n  <button data-correct=\"false\">d) 28<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>14. If the HCF of two numbers is 18 and the sum of the numbers is 162, what could be the LCM?<\/p>\n  <button data-correct=\"false\">a) 144<\/button>\n  <button data-correct=\"false\">b) 252<\/button>\n  <button data-correct=\"false\">c) 360<\/button>\n  <button data-correct=\"true\">d) All of the above<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>15. Find the least number which is a common multiple of 12, 15, and 20 and is exactly divisible by 7.<\/p>\n  <button data-correct=\"true\">a) 420<\/button>\n  <button data-correct=\"false\">b) 210<\/button>\n  <button data-correct=\"false\">c) 840<\/button>\n  <button data-correct=\"false\">d) 280<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>16. The sum of two numbers is 216 and their HCF is 27. How many such pairs are possible?<\/p>\n  <button data-correct=\"true\">a) 2<\/button>\n  <button data-correct=\"false\">b) 3<\/button>\n  <button data-correct=\"false\">c) 4<\/button>\n  <button data-correct=\"false\">d) 1<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>17. The LCM of two co-prime numbers is 85. If one number is 5, what is the other?<\/p>\n  <button data-correct=\"true\">a) 17<\/button>\n  <button data-correct=\"false\">b) 13<\/button>\n  <button data-correct=\"false\">c) 19<\/button>\n  <button data-correct=\"false\">d) 25<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>18. What is the greatest number that exactly divides 200 and 320 and leaves remainders 5 and 15 respectively?<\/p>\n  <button data-correct=\"false\">a) 20<\/button>\n  <button data-correct=\"true\">b) 25<\/button>\n  <button data-correct=\"false\">c) 30<\/button>\n  <button data-correct=\"false\">d) 35<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>19. Three numbers are in the ratio 2:3:5 and their HCF is 8. Find the numbers.<\/p>\n  <button data-correct=\"true\">a) 16, 24, 40<\/button>\n  <button data-correct=\"false\">b) 8, 12, 20<\/button>\n  <button data-correct=\"false\">c) 32, 48, 80<\/button>\n  <button data-correct=\"false\">d) 24, 36, 60<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>20. The product of two numbers is 12288 and their LCM is 384. What is their HCF?<\/p>\n  <button data-correct=\"false\">a) 16<\/button>\n  <button data-correct=\"true\">b) 32<\/button>\n  <button data-correct=\"false\">c) 48<\/button>\n  <button data-correct=\"false\">d) 64<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>21. Find the least number that leaves remainder 5 when divided by 8, 9, 12, and 16.<\/p>\n  <button data-correct=\"false\">a) 1157<\/button>\n  <button data-correct=\"true\">b) 149<\/button>\n  <button data-correct=\"false\">c) 1445<\/button>\n  <button data-correct=\"false\">d) 1733<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>22. The HCF and LCM of two numbers are 3 and 594 respectively. If one number is 54, what is the other?<\/p>\n  <button data-correct=\"true\">a) 33<\/button>\n  <button data-correct=\"false\">b) 27<\/button>\n  <button data-correct=\"false\">c) 36<\/button>\n  <button data-correct=\"false\">d) 28<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>23. What is the least number which when divided by 35, 45, and 55 leaves remainder 5 in each case?<\/p>\n  <button data-correct=\"false\">a) 3460<\/button>\n  <button data-correct=\"false\">b) 3465<\/button>\n  <button data-correct=\"true\">c) 3470<\/button>\n  <button data-correct=\"false\">d) 3480<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>24. The HCF of 105, 165, and 195 is:<\/p>\n  <button data-correct=\"false\">b) 30<\/button>\n  <button data-correct=\"false\">a) 45<\/button>\n  <button data-correct=\"true\">c) 15<\/button>\n  <button data-correct=\"false\">d) 60<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>25. A number when divided by 7 and 11 leaves remainder 4 in both cases. Find the least such number.<\/p>\n  <button data-correct=\"false\">a) 71<\/button>\n  <button data-correct=\"false\">a) 77<\/button>\n  <button data-correct=\"false\">c) 85<\/button>\n  <button data-correct=\"true\">d) 81<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>26. Find the least number which is exactly divisible by all numbers from 1 to 12.<\/p>\n  <button data-correct=\"true\">a) 2520<\/button>\n  <button data-correct=\"false\">b) 2400<\/button>\n  <button data-correct=\"false\">c) 2640<\/button>\n  <button data-correct=\"false\">d) 2160<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>27. If a and b are two numbers such that LCM(a, b) = 240 and HCF(a, b) = 10, and a = 40, find b.<\/p>\n  <button data-correct=\"true\">a) 60<\/button>\n  <button data-correct=\"false\">b) 30<\/button>\n  <button data-correct=\"false\">c) 48<\/button>\n  <button data-correct=\"false\">d) 72<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>28. Two bells ring at intervals of 18 and 24 minutes. They start ringing together at 10:00 AM. When will they ring together next?<\/p>\n  <button data-correct=\"true\">a) 11:12 AM<\/button>\n  <button data-correct=\"false\">b) 10:36 AM<\/button>\n  <button data-correct=\"false\">c) 10:24 AM<\/button>\n  <button data-correct=\"false\">d) 10:18 AM<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>29. A number is exactly divisible by 9, 12, and 18. What is the smallest such number greater than 100?<\/p>\n  <button data-correct=\"true\">a) 108<\/button>\n  <button data-correct=\"false\">b) 126<\/button>\n  <button data-correct=\"false\">c) 144<\/button>\n  <button data-correct=\"false\">d) 162<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>30. What is the highest number that divides 43, 91, and 183 leaving the same remainder each time?<\/p>\n  <button data-correct=\"false\">a) 16<\/button>\n  <button data-correct=\"false\">b) 8<\/button>\n  <button data-correct=\"false\">c) 12<\/button>\n  <button data-correct=\"true\">d) 4<\/button>\n<\/div>\n\n    <!-- FINAL SUMMARY -->\n    <div class=\"final-summary\">\n      <h3>Quiz Summary <\/h3>\n\n      <div class=\"summary-row\">\n        <span>Attempted<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-attempted\" data-summary=\"attempted\"><\/div><\/div>\n        <span data-count=\"attempted\">0<\/span>\n      <\/div>\n\n      <div class=\"summary-row\">\n        <span>Correct<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-correct\" data-summary=\"correct\"><\/div><\/div>\n        <span data-count=\"correct\">0<\/span>\n      <\/div>\n\n      <div class=\"summary-row\">\n        <span>Wrong<\/span>\n        <div 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Questions test your number sense, divisibility, and basic arithmetic speed.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>LCM<\/strong> is the smallest number that is exactly divisible by two or more numbers.<\/li>\n\n\n\n<li><strong>HCF<\/strong> is the greatest number that can exactly divide two or more numbers without leaving a remainder.<\/li>\n<\/ul>\n\n\n\n<p>In SSC exams, you may encounter LCM and HCF in:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Word problems related to time and work<\/li>\n\n\n\n<li>Remainder-based questions<\/li>\n\n\n\n<li>Ratio and proportion concepts<\/li>\n\n\n\n<li>Simple numerical calculations<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-difference-between-lcm-and-hcf\"><span class=\"ez-toc-section\" id=\"Difference_Between_LCM_and_HCF\"><\/span>Difference Between LCM and HCF?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>LCM and HCF are fundamental math concepts often used in competitive exams, but they serve different purposes and follow distinct rules.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Basis<\/strong><\/td><td><strong>LCM (Least Common Multiple)<\/strong><\/td><td><strong>HCF (Highest Common Factor)<\/strong><\/td><\/tr><tr><td>Meaning<\/td><td>The smallest number that is exactly divisible by two or more given numbers.<\/td><td>The largest number that can exactly divide two or more given numbers.<\/td><\/tr><tr><td>Use in Exams<\/td><td>Used in time-based problems like scheduling, cycles, and calendar events.<\/td><td>Used in problems involving division, ratios, and simplification.<\/td><\/tr><tr><td>Formula<\/td><td>LCM \u00d7 HCF = Product of the two numbers<br>\u2192 LCM = (Product) \u00f7 HCF<\/td><td>Use prime factorization or Euclidean algorithm for quick calculation.<\/td><\/tr><tr><td>Example<\/td><td>LCM of 4 and 5 is 20<\/td><td>HCF of 12 and 18 is 6<\/td><\/tr><tr><td>Result Nature<\/td><td>LCM is always equal to or greater than both numbers.<\/td><td>HCF is always equal to or smaller than the smaller number.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-lcm-and-hcf-for-ssc-exams-faqs\"><span class=\"ez-toc-section\" id=\"LCM_and_HCF_for_SSC_Exams_-FAQs\"><\/span>LCM and HCF for SSC Exams -FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1752051085410\"><strong class=\"schema-faq-question\">Q1. What is the full form of LCM and HCF in maths?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> LCM stands for <strong>Least Common Multiple<\/strong>, and HCF stands for <strong>Highest Common Factor<\/strong>.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1752052039754\"><strong class=\"schema-faq-question\">Q2. How are LCM and HCF important for SSC exams?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> LCM and HCF are frequently asked in <strong>SSC CGL, CHSL, MTS, Banking, and Railway exams<\/strong> to test number system basics and arithmetic efficiency.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1752052052601\"><strong class=\"schema-faq-question\">Q3. Can LCM be smaller than HCF?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> <strong>No<\/strong>, LCM is always equal to or greater than HCF for any two natural numbers.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1752052079939\"><strong class=\"schema-faq-question\">Q4. What is the fastest way to find HCF and LCM?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> Use <strong>prime factorization<\/strong> for smaller numbers and the <strong>Euclidean algorithm<\/strong> for HCF and the formula:<br\/><strong>Product of two numbers = HCF \u00d7 LCM<\/strong> for quick calculations.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1752052105355\"><strong class=\"schema-faq-question\">Q5. How to solve remainder-based LCM questions in SSC?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> Subtract the remainder from each number and find the <strong>LCM of the results<\/strong> to get the correct answer.<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/from-a-2-mark-miss-to-ibps-po-selection-ankushs-success-story\/\">From a 2-Mark Miss to IBPS PO Selection: Ankush\u2019s Success Story<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/lic-aao-preparation-strategy-tuneer\/\">Struggling with LIC AAO? 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Practice with answers, tips, and shortcuts to improve speed and accuracy.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"LCM HCF Questions for SSC Exams, Practice Questions with Solutions\" \/>\n<meta property=\"og:description\" content=\"LCM and HCF are important topics in the Quantitative Aptitude section of exams like SSC CGL, SSC CHSL, SSC MTS, Banking, and Railways. These topics test\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/\" \/>\n<meta property=\"og:site_name\" content=\"Oliveboard\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Oliveboard\" \/>\n<meta property=\"article:published_time\" content=\"2026-03-30T17:33:08+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-03-30T17:33:10+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/07\/lmc-hcf.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"730\" \/>\n\t<meta property=\"og:image:height\" content=\"480\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"author\" content=\"Aadib Nagori\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@Oliveboard\" \/>\n<meta name=\"twitter:site\" content=\"@Oliveboard\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Aadib Nagori\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"NewsArticle\",\"@id\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/\"},\"author\":{\"name\":\"Aadib Nagori\",\"@id\":\"https:\/\/www.oliveboard.in\/blog\/#\/schema\/person\/6222ed6a7562bcc680c47ff3293ab2f5\"},\"headline\":\"LCM HCF Questions for SSC Exams, Practice Questions with Solutions\",\"datePublished\":\"2026-03-30T17:33:08+00:00\",\"dateModified\":\"2026-03-30T17:33:10+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/\"},\"wordCount\":1201,\"publisher\":{\"@id\":\"https:\/\/www.oliveboard.in\/blog\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/07\/lmc-hcf.webp\",\"articleSection\":[\"SSC\"],\"inLanguage\":\"en-US\"},{\"@type\":[\"WebPage\",\"FAQPage\"],\"@id\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/\",\"url\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/\",\"name\":\"LCM and HCF Questions for SSC Exams with Answers\",\"isPartOf\":{\"@id\":\"https:\/\/www.oliveboard.in\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/07\/lmc-hcf.webp\",\"datePublished\":\"2026-03-30T17:33:08+00:00\",\"dateModified\":\"2026-03-30T17:33:10+00:00\",\"description\":\"Attempt 30 important LCM and HCF questions for SSC CGL, CHSL & MTS. 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I focus on creating blogs, articles, and educational content that\u2019s simple, clear, and saves time for readers. I believe in writing that adds real value without overcomplicating things. I also have strong knowledge of banking and government exams, which helps me create content that is both accurate and easy to understand. With experience and consistency, I aim to make preparation smoother for every learner.\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752051085410\",\"position\":1,\"url\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752051085410\",\"name\":\"Q1. What is the full form of LCM and HCF in maths?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<strong>Ans.<\/strong> LCM stands for <strong>Least Common Multiple<\/strong>, and HCF stands for <strong>Highest Common Factor<\/strong>.\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052039754\",\"position\":2,\"url\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052039754\",\"name\":\"Q2. How are LCM and HCF important for SSC exams?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<strong>Ans.<\/strong> LCM and HCF are frequently asked in <strong>SSC CGL, CHSL, MTS, Banking, and Railway exams<\/strong> to test number system basics and arithmetic efficiency.\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052052601\",\"position\":3,\"url\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052052601\",\"name\":\"Q3. Can LCM be smaller than HCF?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<strong>Ans.<\/strong> <strong>No<\/strong>, LCM is always equal to or greater than HCF for any two natural numbers.\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052079939\",\"position\":4,\"url\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052079939\",\"name\":\"Q4. What is the fastest way to find HCF and LCM?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<strong>Ans.<\/strong> Use <strong>prime factorization<\/strong> for smaller numbers and the <strong>Euclidean algorithm<\/strong> for HCF and the formula:<br\/><strong>Product of two numbers = HCF \u00d7 LCM<\/strong> for quick calculations.\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052105355\",\"position\":5,\"url\":\"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052105355\",\"name\":\"Q5. How to solve remainder-based LCM questions in SSC?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<strong>Ans.<\/strong> Subtract the remainder from each number and find the <strong>LCM of the results<\/strong> to get the correct answer.\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"LCM and HCF Questions for SSC Exams with Answers","description":"Attempt 30 important LCM and HCF questions for SSC CGL, CHSL & MTS. 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I focus on creating blogs, articles, and educational content that\u2019s simple, clear, and saves time for readers. I believe in writing that adds real value without overcomplicating things. I also have strong knowledge of banking and government exams, which helps me create content that is both accurate and easy to understand. With experience and consistency, I aim to make preparation smoother for every learner."},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752051085410","position":1,"url":"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752051085410","name":"Q1. What is the full form of LCM and HCF in maths?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"<strong>Ans.<\/strong> LCM stands for <strong>Least Common Multiple<\/strong>, and HCF stands for <strong>Highest Common Factor<\/strong>.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052039754","position":2,"url":"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052039754","name":"Q2. How are LCM and HCF important for SSC exams?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"<strong>Ans.<\/strong> LCM and HCF are frequently asked in <strong>SSC CGL, CHSL, MTS, Banking, and Railway exams<\/strong> to test number system basics and arithmetic efficiency.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052052601","position":3,"url":"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052052601","name":"Q3. Can LCM be smaller than HCF?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"<strong>Ans.<\/strong> <strong>No<\/strong>, LCM is always equal to or greater than HCF for any two natural numbers.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052079939","position":4,"url":"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052079939","name":"Q4. What is the fastest way to find HCF and LCM?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"<strong>Ans.<\/strong> Use <strong>prime factorization<\/strong> for smaller numbers and the <strong>Euclidean algorithm<\/strong> for HCF and the formula:<br\/><strong>Product of two numbers = HCF \u00d7 LCM<\/strong> for quick calculations.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052105355","position":5,"url":"https:\/\/www.oliveboard.in\/blog\/lcm-hcf-questions-for-ssc-exams\/#faq-question-1752052105355","name":"Q5. How to solve remainder-based LCM questions in SSC?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"<strong>Ans.<\/strong> Subtract the remainder from each number and find the <strong>LCM of the results<\/strong> to get the correct answer.","inLanguage":"en-US"},"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/posts\/94749","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/users\/66"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/comments?post=94749"}],"version-history":[{"count":16,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/posts\/94749\/revisions"}],"predecessor-version":[{"id":241025,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/posts\/94749\/revisions\/241025"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/media\/238565"}],"wp:attachment":[{"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/media?parent=94749"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/categories?post=94749"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/tags?post=94749"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}