If the ratio of the number is 3 5 and their HCF is 25 then what is the L.C.M. of these two numbers

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Answer: Option D : 375Solution:

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

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