Question

What will be the least number which when doubled will be exactly divisible by $12,16,21$ and $36?$

• A. $630$
• B. $504$
• C. $2016$
• D. $1008$

Answer 1

Answer: (B)

$504$

Let the required number be $x.$

Then, $2x=$ L.C.M. of $(12,16,21$ and $36)$
$=2\times 2\times 3\times 4\times 7\times 3$
$=1008$
$\therefore$ $x=$ $\frac{1008}{2}$ $=504$