Two numbers are in the ratio 2:3and their HCF is 13. Find the LCM of t – InterviewSolution

1.	Two numbers are in the ratio 2:3and their HCF is 13. Find the LCM of those two numbers.
Answer» Let the two NUMBERS be 4x and 5X respectively.The HCF of 2x and 3x is x.⇒ x = 13We 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

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