If the ratio of the number is 3 : 5 and their HCF is 25. Then, what is the LCM…

GIVEN:

The ratio of two numbers = 3 : 5

HCF of two numbers = 25

CONCEPT:

Product of two numbers = LCM × HCF

CALCULATION:

Suppose two numbers are 3x and 5x, respectively.

HCF = 25

∴ First number = 3x = 3(25) = 75

Second number = 5x = 5(25) = 125

⇒ 75 × 125 = 25 × LCM

⇒ LCM = 3 × 125

⇒ LCM = 375