LCM and HCF

Every LCM and HCF attribute, distilled.

LCM and HCF is an important topic in Mathematics for competitive exam aspirants. This guide gives you a clear, exam-focused explanation of LCM and HCF, shows how it is typically asked, and pairs it with solved practice questions so you can learn the approach and test yourself right away. Work through the questions below to build speed and accuracy.

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Q1Find the LCM of 24 and 36.EasySolve →Q2The HCF of two numbers is 18, and their LCM is 180. If one number is 90, find the other number.ModerateSolve →Q3Find the greatest number that will divide 1305, 4665, and 6905 exactly, leaving the same remainder in each case.DifficultSolve →Q4The LCM of two numbers is 495 and their HCF is 5. If one number is 45, find the other.ModerateSolve →Q5Find the least number which when divided by 12, 18, 21, and 30 leaves the remainder 10 in each case.DifficultSolve →Q6The greatest number that divides 1095 and 1160 leaving remainders 7 and 12 respectively is:ModerateSolve →Q7The product of two numbers is 1296 and their HCF is 12. Find their LCM.EasySolve →Q8Find the smallest 4-digit number divisible by 6, 8, and 9.ModerateSolve →Q9Two numbers are in ratio 3:4 and their HCF is 6. Find their LCM.ModerateSolve →Q10The greatest number that divides 1220 and 1456 exactly is:EasySolve →

Every LCM and HCF attribute, distilled.

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