The least number which is a perfect square and is divisible by each of the numbers 16,20, and 24, is :
Choose the correct choice from the following choices.
A) 1600 B) 3600 C) 6400 D) 11400 E) None of these
Solution   The least number divisible by 16, 20, 24   = L.C.M. of 16, 20, 24 = 240 = 2 × 2 × 2 × 2 × 3 × 5.   To make it a perfect square it must be multiplied by 3 × 5.   ∴ Required number = 240 × 3 × 5 = 3600. Answer 3600
<result>B</result>
The least number which is a perfect square and is divisible by each of the numbers 16,20, and 24, is :