SSC GD 2025 PYQ — Question 46

SSC GD Const 2025 (English) - 13 Feb 2025 - Shift 3 • Quantitative Aptitude • Q46

The LCM of 16, 21, 364 and 156 is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 4368.

The prime factorizations:

16 = 2⁴

21 = 3 × 7

364 = 2² × 7 × 13

156 = 2² × 3 × 13

Take highest powers of all primes:

2⁴, 3¹, 7¹, 13¹

LCM = 2⁴ × 3 × 7 × 13 = 16 × 3 × 7 × 13 = 4368