SSC GD 2025 PYQ — Question 46

SSC GD Const 2025 (English) - 18 Feb 2025 - Shift 3 • Quantitative Aptitude • Q46

The smallest natural number which is divisible by 12, 28, 36 and 27 is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 756.

Prime factorization

12 = 2² × 3

28 = 2² × 7

36 = 2² × 3²

27 = 3³

Take highest powers

2²

3³

7

LCM = 2² × 3³ × 7 = 4 × 27 × 7 = 756