Question

Which is the smallest perfect square number that is divisible by 3, 4, 5, 6 and 8?

• A. 900
• B. 1200
• C. 2500
• D. 3600
• E. 49000

Answer 1

The correct option is D

3600

L.C.M. of 3, 4, 5, 6, 8 is 120.
Now, 120 = 2 x 2 x 2 x 3 x 5.
To get a perfect square, it has to be multiplied by 2 x 3 x 5.
So, required number = 2${}^2$ x 2${}^2$ x 3${}^2$ x 5${}^2$ = 3600.