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Question

If a=23×32×5 and b=24×3×72, then which of the following is true?


A

HCF = 23×32×5×7
LCM = 27×33×5×72

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B

HCF = 2×3×5×7
LCM = 22×32×5×72

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C

HCF = 23×32
LCM = 24×32×5×72

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D

HCF = 23×3
LCM = 24×32×5×72

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Solution

The correct option is D

HCF = 23×3
LCM = 24×32×5×72


HCF is the product of common prime factors with their lowest power.

LCM is the product of prime factors with their highest power.

Given : a=23×32×5 and b=24×3×72

HCF of a and b = 23×3 ( Taking the product of lowest powers of common factors)

LCM of a and b = 24×32×5×72 (Taking the product of prime factors with their highest power)


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