Find the Least Common Multiple (LCM) of 6, 72 | vedclass

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(B) To find the $LCM$ of $6, 72,$ and $120$,we first find the prime factorization of each number:$6 = 2^1 	imes 3^1$$72 = 8 	imes 9 = 2^3 	imes 3^2

Vedclass · Accepted Answer

$360$

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(B) To find the $LCM$ of $6, 72,$ and $120$,we first find the prime factorization of each number:$6 = 2^1 	imes 3^1$$72 = 8 	imes 9 = 2^3 	imes 3^2$$120 = 8 	imes 15 = 2^3 	imes 3^1 	imes 5^1$The $LCM$ is the product of the highest power of each prime factor present in the numbers:$LCM$ $= 2^3 	imes 3^2 	imes 5^1$$LCM$ $= 8 	imes 9 	imes 5$$LCM$ $= 72 	imes 5 = 360$Therefore,the $LCM$ of $6, 72,$ and $120$ is $360$.

Find the Least Common Multiple $(LCM)$ of $6, 72,$ and $120$.

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