HCF and LCM

IMPORTANT

HCF and LCM: Overview

This topic covers concepts, such as, LCM and HCF of Numbers, Least Common Multiple (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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 Find the H.C.F. of23 ,45  and 67 

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Two numbers are in the ratio 4 : 5 and their LCM is 180, then find the smaller number?

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The LCM of two numbers is30 and their HCF is 5. One of the number is 10. The other is -

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Six bells commence tolling together at intervals of 2,4,6,8,10 and 12 seconds respectively. In 30 minutes. How many times do they toll together?

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Consider the following pairs:

A. 5 and 105

B. 15 and 105

C. 15 and 35

Which of the above pairs have H.C.F. as 5 and L.C.M. as 105 ?

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A, B and C walk 1 km in 5 minutes, 8 minutes and 10 minutes respectively. C starts from a point, B starts from the same point after 1 minute and A starts from the same point 2 minutes after C. In how much time will A meet B and C?

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What is the least possible number which when divided by 10, 12, 15, 18 it leaves the reminder 6, 8, 11, 14 respectively?

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There are three sets of Biology, chemistry and Math test papers containing 96120 and 144 papers respectively have to be stacked in such a way that all the test papers are stored subject wise and height of each stack is same. Total number of stack will be _____.

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A certain type of board is sold in length of multiples of 2 ft. The shortest board sold is 6 ft and the longest board sold is 24 ft. A builder needs a large quantity of these types of boards in 512ft lengths. Find the length to be ordered for which waste is minimum?

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The LCM of23, 34, 45, 56,67  is -

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The HCF and LCM of two positive integers are 35 and 385 respectively. If one of the integers is 77, what is the other integer?

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The sum of four consecutive even number is 284. What would be the smallest number?

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If the sum of two numbers is 55 and the h.c.f. and l.c.m. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

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The H.C.F. of 910, 1225,1835 and 2140 is:

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Reduce to  128352238368  its lowest terms.

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The LCM of two number is 2079 and then HCF is 27. If one of the number is 18.9, find the other:

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A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ? 

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Tanu , Priya and and Sony started to run around a circular stadium and complete a round in 36 seconds ,9 seconds and 45 seconds respectively . In what time will they meet at the strating point?

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Three friends A, B and C start running around a circular stadium and complete a single round in 8, 18 and 15 seconds respectively. After how many minutes will they meet again at the starting point for the first time?

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Find the lowest common multiple of 24, 36 and 40.