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Solution of a Linear Equation in Two Variables

What will be ...

Question

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

A

196

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B

630

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C

1260

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D

2520

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Solution

The correct option is C $630$
L.C.M. of $12$ , $18$ , $21$ , $30$
$= 2 \times 3 \times 2 \times 3 \times 7 \times 5 = 1260$ .
Required number $= (1260 \div 2)$
$= 630$ .

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