Question

The least perfect square which is divisible by each of 21, 36 and 66, is?

• A. 213444
• B. 214344
• C. 214434
• D. 231444
• E. 213429

Answer 1

The correct option is A

213444

L.C.M. of 21, 36, 66 = 2772. Finding the factors of 2772= 2 x 2 x 3 x 3 x 7 x 11. To get a perfect square, it has to be multiplied by 7 x 11. So, required number = 2${}^2$ x 3${}^2$ x 7${}^2$ x 11${}^2$ = 213444.