If the HCF(a, b) = 25,then which of the follo | vedclass

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(B) The $LCM$ of two numbers must always be divisible by their $HCF$.Given $HCF(a, b) = 25$.We check the divisibility of the given options by $25$:$1$

Vedclass · Accepted Answer

$105$

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(B) The $LCM$ of two numbers must always be divisible by their $HCF$.Given $HCF(a, b) = 25$.We check the divisibility of the given options by $25$:$1$. $50 / 25 = 2$ (Divisible)$2$. $105 / 25 = 4.2$ (Not divisible)$3$. $100 / 25 = 4$ (Divisible)Since $105$ is not divisible by $25$,it cannot be the $LCM$ of two numbers whose $HCF$ is $25$.

If the $HCF(a, b) = 25$,then which of the following cannot be the $LCM(a, b)$? (Options: $50, 105, 100$)

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