If HCF(a, b) = 12,then which of the following | vedclass

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(A) The $LCM$ of two numbers must always be divisible by their $HCF$. Given $HCF(a, b) = 12$. We check each option to see if it is divisible by $12$:

Vedclass · Accepted Answer

$90$

Vedclass · Answer

(A) The $LCM$ of two numbers must always be divisible by their $HCF$. Given $HCF(a, b) = 12$. We check each option to see if it is divisible by $12$: $(A) 90 / 12 = 7.5$ (Not divisible) $(B) 24 / 12 = 2$ (Divisible) $(C) 48 / 12 = 4$ (Divisible) $(D) 60 / 12 = 5$ (Divisible) Since $90$ is not divisible by $12$,it cannot be the $LCM$ of two numbers whose $HCF$ is $12$.

If $HCF(a, b) = 12$,then which of the following cannot be the $LCM(a, b)$? Options: $(A) 90, (B) 24, (C) 48, (D) 60$.

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