The smallest positive number divisible by eve | vedclass

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(D) The integers from $2$ to $6$ are $2, 3, 4, 5,$ and $6$.To find the smallest positive number divisible by all these integers,we need to calculate t

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(D) The integers from $2$ to $6$ are $2, 3, 4, 5,$ and $6$.To find the smallest positive number divisible by all these integers,we need to calculate the Least Common Multiple $(LCM)$ of $2, 3, 4, 5,$ and $6$.Prime factorization of each number:$2 = 2^1$$3 = 3^1$$4 = 2^2$$5 = 5^1$$6 = 2^1 	imes 3^1$Taking the highest power of each prime factor present:$LCM = 2^2 	imes 3^1 	imes 5^1 = 4 	imes 3 	imes 5 = 60$.Therefore,$60$ is the smallest positive number divisible by $2, 3, 4, 5,$ and $6$.

The smallest positive number divisible by every integer from $2$ to $6$ is..........

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