HCF and LCM
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
What is the number of divisors of $360$?

What is the least number which when divided by leaves remainder in each case?

The greatest number that can divide and leaving remainder of and respectively.

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

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

How many times do they toll together in minutes. If six bells commence tolling together and toll at intervals of and Seconds respectively ?


The greatest -digit number exactly divisible by is -

What is the HCF of and ?

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

Find H.C.F. Three number are in the ratio of and their L.C.M. is ?

How many number lie between which divisible by .

Find the number of factors of .

Find the smallest number, which when divided by or leaves a remainder in each case?

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

Three rings complete and 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?

Find the least number which when divided by and leaves the same remainder in each case.

Find the least number which when decreased by is exactly divisible by and

Find the least number which increased by is exactly divisible by and

Find the greatest number which will divide and leaving remainders and , respectively:
