SSC CPO 2022 PYQ — Question 121

SSC CPO - 10 Nov 2022 - Shift 3 • Quantitative Aptitude • Q121

The ratio of the two numbers is 5 : 7 and their HCF is 3. Their LCM is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 105

As we know,

Product of two numbers = LCM × HCF

One number = 5 × HCF = 5 × 3 = 15

Second number = 7 × HCF = 7 × 3 = 21

Hence,

⇒ 15 × 21 = 3 × LCM

⇒ 15 × 7 = LCM

⇒ LCM = 105

Hence, the LCM is 105