Correct Answer - Option 4 : 900
Given:
Number = Perfect square
Number is divisible by 10, 12, 15 and 18
Concept used:
LCM = Product of the highest power of the prime factors
Calculations:
Expressing the given terms in the form of prime factors,
10 = 2 × 5
12 = 22 × 3
15 = 3 × 5
18 = 2 × 32
LCM = 22 × 32 × 5
⇒ 180
If we multiply 5 to the LCM we get,
⇒ 5 × 180
⇒ 900
∴ The least perfect square which is divisible by the given numbers is 900
