The Least Common Multiple (LCM) of 23, 35, an | vedclass

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(A) To find the Least Common Multiple $(LCM)$ of $23, 35,$ and $46$:Step $1$: Find the prime factorization of each number.$23 = 23^1$ (since $23$ is a

Vedclass · Accepted Answer

$1610$

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(A) To find the Least Common Multiple $(LCM)$ of $23, 35,$ and $46$:Step $1$: Find the prime factorization of each number.$23 = 23^1$ (since $23$ is a prime number).$35 = 5^1 	imes 7^1$.$46 = 2^1 	imes 23^1$.Step $2$: Identify the highest power of each prime factor present in the numbers.The prime factors involved are $2, 5, 7,$ and $23$.The highest powers are $2^1, 5^1, 7^1,$ and $23^1$.Step $3$: Multiply these highest powers to find the $LCM$.$LCM = 2^1 	imes 5^1 	imes 7^1 	imes 23^1$$LCM = 10 	imes 7 	imes 23$$LCM = 70 	imes 23 = 1610$.

The Least Common Multiple $(LCM)$ of $23, 35,$ and $46$ is . . . . . . .

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