Question

The least perfect square number which is divisible by $3,4,5,6$ and $8$ is

• A. $900$
• B. $1600$
• C. $2500$
• D. $3600$

Answer 1

The correct option is D $3600$

LCM of $3,4,5,6$ and $8=120$
$2\times 2\times 2\times 3\times 5=120$
In the above factorization $2,3$ and $5$ not in pair, so multiply it by theses numbers.
$120\times 2\times 3\times 5=3600$
Hence, $3600$ is the least perfect square number which is divisible by $3,4,5,6$ and $8$.