HCF and LCM

IMPORTANT

HCF and LCM: Overview

This topic covers concepts, such as LCM and HCF of Numbers, Least Common Multiple (LCM), Methods to Find LCM, Common Division Method to Find LCM, LCM using Prime Factorisation Method, Shortcut for Finding LCM, and Highest Common Factor (HCF).

Important Questions on HCF and LCM

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What is the number of divisors of $360$?

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What is the least number which when divided by 15,17and18 leaves remainder 3 in each case?

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The greatest number that can divide 140, 176 and 264 leaving remainder of 4, 6 and 9 respectively.

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HCF and LCM of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45, the sum of the numbers is _____.

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The sum of two numbers is 216 and their HCF is 27. How many pairs of such number are there?

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How many times do they toll together in 30 minutes. If six bells commence tolling together and toll at intervals of 2, 4, 6, 8,10 and 12 Seconds respectively ?

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Find the L.C.M of 0.5, 2.1 and 2.8.

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The greatest 4-digit number exactly divisible by 10, 15, 20 is -

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What is the HCF of 18 and 48?

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Three different containers contain different quantities of a mixture of milk and water, whose measurements are 403 kg, 434 kg and  465 kg. What biggest measure be there to measure all the different quantities exactly?

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Find H.C.F. Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400 ?

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How many number lie between 1-1000 which divisible by 6,7and15.

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Find the number of factors of 240.

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Find the smallest number, which when divided by 8, 12, 20 or 25 leaves a remainder 5 in each case?

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Amita, Sneha, and Raghav start preparing cards for all persons of an old age home. In order to complete one card, they take 1016 and 20 minutes respectively. If all of them started together, after what time will they start preparing a new card together?

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Three rings complete 60,36 and 24 revolutions in a minute. They start from a certain point in their circumference downwards. By what time they come together again in the same position?

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Find the least number which when divided by 12,15 , 20 and 24 leaves the same remainder 2 in each case.

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Find the least number which when decreased by 4 is exactly divisible by 9,12,15 and 18:

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Find the least number which increased by 3 is exactly divisible by 10,12,14 and 16:

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Find the greatest number which will divide 148,246 and 623 leaving remainders 4,6 and 11 , respectively: