SSC GD 2025 PYQ — Question 54

SSC GD Const 2025 (English) - 04 Feb 2025 - Shift 1 • Quantitative Aptitude • Q54

The LCM of 28, 60, 120 and 135 is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 7560.

28=22×760=22×3×5120=23×3×5135=33×528 = 2^2 \times 7 \\ 60 = 2^2 \times 3 \times 5 \\ 120 = 2^3 \times 3 \times 5 \\ 135 = 3^3 \times 5

Lcm = 23×33×5×72^3 \times 3^3 \times 5 \times 7 \\

=8×27×5×7=7560= 8 \times 27 \times 5 \times 7 \\ = 7560