SSC CPO 2022 PYQ — Question 143

SSC CPO - 10 Nov 2022 - Shift 2 • Quantitative Aptitude • Q143

The highest common factor of 108, 72 and 5a is a. What can be the least common multiple of 108, 72 and a?
 

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 216

Given that

HCF of (108, 72 and 5a) is a

108 = 36 × 3

72 = 36 × 2

5a = a × 5

Hence, a = 36

LCM (108, 72, 36)

= 36 × 6 = 216