Question

A man gave his sons $3$ numbers $4,11,16$ and asked to find the smallest square number that is divisible by each.

• A. $1432$
• B. $1523$
• C. $1436$
• D. $1936$

Answer 1

Answer: (D)

$1936$

$L.C.M=\underset{–}{2\times 2}\times \underset{–}{2\times 2}\times 11=176$
$11$ is not in pairs , so $11$ has to be multiplied to get the perfect square.
$=176\times 11=1936$. The smallest square number that is divisible by each is $1936.$
Therefore, $D$ is the correct answer.