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LCM

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Question

Find the $HCF$ and $LCM$ of $6, 72$ and $120$ using the prime factorization method.

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Solution

$L C M = 3 \times 2 \times 4 \times 3 \times 5 = 360$
As product of numbers $= L C M \times H C F$
$\Rightarrow 6 \times 72 \times 120 = H C F \times 360$
$\Rightarrow H C F = 144$

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