HCF and LCM

IMPORTANT

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

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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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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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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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The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is:

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The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is:

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Four bells ring at intervals of 4, 6, 8 and 14 seconds. They start ringing simultaneously at 12.00 O'clock. At what time will they again ring simultaneously?

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Four runners started running simultaneously from a point on a circular track. They took 200 seconds, 300 seconds, 360 seconds and 450 seconds to complete one round. After how much time do they meet at the starting point for the first time?

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From a point on a circular track 5 km long A, B and C started running in the same direction at the same time with speed of 212 km per hour. 3 km per hour and 2 km per hour respectively. Then on the starting point all three will meet again after

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What is the smallest number which leaves remainder 3 when divided by any of the numbers 56 or 8 but leaves no remainder when it is divided by 9?

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A number which when divided by 10 leaves a remainder of 9. When divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7, is:

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The least number which when divided by 12,15,20 or 54 leaves a remainder of 4 in each case, is:

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The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is:

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The product of two numbers is 2160 and their HCF is 12. Number of such possible pairs is