SSC GD 2025 PYQ — Question 59

SSC GD Const 2025 (English) - 20 Feb 2025 - Shift 2 • Quantitative Aptitude • Q59

The LCM of 46, 68, 136, and 138 is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 9384.

46 = 2 × 23

68 = 22 × 17

136 = 23 × 17

138 = 2 × 3 × 23

LCM = take the highest power of all primes

Primes: 23, 31, 171, 231

LCM = 23 × 3 × 17 × 23

23 × 3 = 8 × 3 = 24

24 × 17 = 408

408 × 23 = 9384