# Is it possible that HCF and LCM of two numbers be 24 and 540 respectively? Justify the answer.

HCF = 24

LCM = 540

$Z=\frac{\mathrm{LCM}}{\mathrm{HCF}}=\frac{540}{24}=22.5$

Since, LCM of two numbers is completely divisible by HCF of those two numbers.

Since, Here, Z= 22.5 which is not a whole number,

Hence, 540 and 24 cannot be LCM and HCF of two numbers.

Regards

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