Two numbers are in the ratio 3 : 5 and their HCF is 28. Find their LCM.

Question

Question

This question was previously asked in

OSSC TGT Official Paper (Held On: 11 Mar, 2023 Shift 3)

Answer 1

Given:

Ratio of the two numbers = 3 : 5

HCF of the two numbers = 28

Formula Used:

LCM = (Product of the numbers) / HCF

Calculation:

Let the two numbers be 3x and 5x.

Since the HCF is 28, we can write:

3x and 5x should be such that their HCF is 28.

Hence, x = 28

The two numbers are:

3 × 28 = 84

5 × 28 = 140

LCM = (84 × 140) / 28

⇒ LCM = 11760 / 28

⇒ LCM = 420

The LCM of the two numbers is 420.

Download Solution PDF