Math, asked by prashant7748878, 3 months ago

two numbers are in the ratio 2:3 if there LCM is 108 then HCM?​

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Answered by Mukulkshtriyal
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Two numbers are in ratio 3:4, their LCM is 108. What is their HCF?

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10 Answers

Yashima Arora, former Business Technology Analyst at Deloitte (2017-2019)

Answered 27 June 2019

As the numbers are given in a ratio, take the no. as 3x and 4x (as x is common)

LCM - Least Common Multiple or highest power of each prime factor

108 = 2^2 * 3^3

3X = 3^X

4X = 2^2 *X

Now finding LCM from these no. should include highest power of each prime factor - which is 2^2 and 3^3. This means X should be 3^2 which is missing for LCM to be 108.

Hence, the HCF - Highest Common factor or the lowest matching power of prime factors is 3^2 = 9

The two numbers are - 27 (3^3) and 36 (2^2 * 3^2)

Answered by kanishkasihag06
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Answer:

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