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

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(A) The fundamental property of $HCF$ and $LCM$ states that the $LCM$ of two numbers must be perfectly divisible by their $HCF$.Given $HCF(a, b) = 12$

Vedclass · Accepted Answer

$90$

Vedclass · Answer

(A) The fundamental property of $HCF$ and $LCM$ states that the $LCM$ of two numbers must be perfectly divisible by their $HCF$.Given $HCF(a, b) = 12$.We check each option to see if it is divisible by $12$:$(A)$ $90 \div 12 = 7.5$ (Not divisible)$(B)$ $24 \div 12 = 2$ (Divisible)$(C)$ $48 \div 12 = 4$ (Divisible)$(D)$ $36 \div 12 = 3$ (Divisible)Since $90$ is not divisible by $12$, it cannot be the $LCM(a, b)$.

If $HCF(a, b) = 12$, then which of the following cannot be the $LCM(a, b)$?

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