Question

Two numbers are in the ratio 2:3
and their HCF is 13. Find the LCM of those two numbers.​

Answer 1

Answer:

Let the two numbers be 2x and 3x respectively.

The HCF of 2x and 3x is x.

⇒ x = 13

We know that,

Product of two numbers x and y = LCM(x, y) × HCF(x, y)

⇒ 2 × 13 × 3 × 13 = LCM × 13

⇒ LCM = 78

∴ LCM = 78