The HCF of two numbers is 8. Which one of the | vedclass

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(D) The $HCF$ (Highest Common Factor) of two numbers always divides their $LCM$ (Least Common Multiple) exactly.Given that the $HCF$ is $8$,the $LCM$

Vedclass · Accepted Answer

$60$

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(D) The $HCF$ (Highest Common Factor) of two numbers always divides their $LCM$ (Least Common Multiple) exactly.Given that the $HCF$ is $8$,the $LCM$ must be a multiple of $8$.Checking the options:$24 \div 8 = 3$ (Divisible)$48 \div 8 = 6$ (Divisible)$56 \div 8 = 7$ (Divisible)$60 \div 8 = 7.5$ (Not divisible)Therefore,$60$ can never be the $LCM$ of two numbers whose $HCF$ is $8$.

The $HCF$ of two numbers is $8$. Which one of the following can never be their $LCM$?

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