SSC GD 2024 PYQ — Question 57

SSC GD Const (English) - 29 Feb 2024 - Shift 3 • Quantitative Aptitude • Q57

What is the smallest number that is a multiple of 13, 15, 4, 21 and 2?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 5460.

L.C.M by prime factorization method

⇒ 13 = 13 × 1

⇒ 15 = 3 × 5

⇒ 4 = 2 × 2

⇒ 21 = 7 × 3

⇒ 2 = 2 × 1

Hence,

L.C.M = 2 × 2 × 3 × 5 × 7 × 13 = 5460