HCF and LCM
HCF and LCM: Overview
This topic covers concepts, such as Least Common Multiple (LCM), Methods to Find LCM, Number of Divisors of a Number N & Number of Numbers Divisible by a Given Integer etc.
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?

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

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 -


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 .

The greatest number, which when divide and leave remainders and respectively, is:

The maximum number of students among whom pens and pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is:

Four bells ring at intervals of and seconds. They start ringing simultaneously at O'clock. At what time will they again ring simultaneously?

Four runners started running simultaneously from a point on a circular track. They took seconds, seconds, seconds and seconds to complete one round. After how much time do they meet at the starting point for the first time?

From a point on a circular track long A, B and C started running in the same direction at the same time with speed of per hour. per hour and per hour respectively. Then on the starting point all three will meet again after

What is the smallest number which leaves remainder when divided by any of the numbers , or but leaves no remainder when it is divided by ?

A number which when divided by leaves a remainder of . When divided by leaves a remainder of , and when divided by leaves a remainder of , is:

The least number which when divided by or leaves a remainder of in each case, is:

The least number which when divided by and leaves a remainder of in each case is:

The product of two numbers is and their HCF is . Number of such possible pairs is
