The least number, which is a perfect square and is divisible

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The least number, which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is

1. 1600
2. 3600
3. 6400
4. 14400

Correct Option: B

The smallest number divisible by 16, 20 and 24
= LCM of 16, 20 and 24

∴ LCM = 2 × 2 × 2 × 2 × 5 × 3
LCM = 2² × 2² × 5 × 3
∴ Required complete square number = 2² × 2² × 5² × 3² = 3600