SSC GD 2023 PYQ — Question 52

SSC GD Constable (English) - 23 Jan 2023 - Shift 2 • Quantitative Aptitude • Q52

Find the smallest number that is exactly divisibly by 12, 15, 18, and 27.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 540.

L.C.M(12, 15, 18, and, 27) 

⇒ 12 = 2 × 2 × 3

⇒ 15 = 3 × 5

⇒ 18 = 2 × 3 × 3

⇒ 27 = 3 × 3 × 3

So, 3 × 3 × 2 × 2 × 5 × 3 = 540

Hence, 

The smallest number that is exactly divisibly by 12, 15, 18, and 27 = 540