# Find the HCF of 96 and 404 by prime factorisation method .hence find their LCM.

Solution: We have ,

$\\ 96=2^5\times 3;and ;404=2^2\times 101\\ \\\Rightarrow \therefore HCF =2^2=4$

Now , $\\ HCF\times LCM=96\times 404 \\ \\\Rightarrow LCM=(96\times 404)/4=9696$

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