What will be the least number which when doub | vedclass

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Question

(B) To find the least number which when doubled is divisible by $12, 18, 21$ and $30$,we first find the Least Common Multiple $(LCM)$ of these numbers

Vedclass · Accepted Answer

$630$

Vedclass · Answer

(B) To find the least number which when doubled is divisible by $12, 18, 21$ and $30$,we first find the Least Common Multiple $(LCM)$ of these numbers.$LCM$ of $12, 18, 21, 30$:$2$$12, 18, 21, 30$$3$$6, 9, 21, 15$$2, 3, 7, 5$$LCM = 2 	imes 3 	imes 2 	imes 3 	imes 7 	imes 5 = 1260$.Let the required number be $x$. According to the problem,$2x$ must be divisible by $1260$.Therefore,$2x = 1260$.$x = \frac{1260}{2} = 630$.Thus,the required number is $630$.

What will be the least number which when doubled will be exactly divisible by $12, 18, 21$ and $30$?

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