Find the smallest perfect square divisible by 3,4 5 and 6.
257
LCM of 3,4,5,and 6 is 60.
60 can be written as 2 x 2 x 5 x 3
⇒ 60 must be multiplied with 5 x 3 to get a perfect square
⇒ 60 x 5 x 3 = 900
Hence, the smallest perfect square divisible by 3,4 5 and 6 is 900.