Correct Answer - Option 1 : 3600
Calculation:
L.C.M of 15, 24 and 36 = 360
For square number, split the L.C.M into the factors
360 = 2 × 2 × 2 × 3 × 3 × 5
Number is = (2 × 2) × (2 × 2) × (3 × 3) × (5 × 5)
⇒ 3600
∴ The smallest square number which is exactly divisible by 15, 24, and 36 is 3600.
In arithmetic and number theory, the least common multiple, the lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.
