If HCF(a, b) = 16,then which of the following | vedclass

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(B) The $HCF$ of two numbers always divides their $LCM$ completely.Given $HCF(a, b) = 16$.We check each option to see if it is divisible by $16$:$A) 3

Vedclass · Accepted Answer

$72$

Vedclass · Answer

(B) The $HCF$ of two numbers always divides their $LCM$ completely.Given $HCF(a, b) = 16$.We check each option to see if it is divisible by $16$:$A) 32 / 16 = 2$ (Divisible)$B) 72 / 16 = 4.5$ (Not divisible)$C) 64 / 16 = 4$ (Divisible)$D) 96 / 16 = 6$ (Divisible)Since $72$ is not divisible by $16$,it cannot be the $LCM$ of $a$ and $b$.

If $HCF(a, b) = 16$,then which of the following cannot be the $LCM(a, b)$?

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