The ratio of two numbers is 4 5 and their HCF is 3 What is their LCM ........

Quantitative Aptitude (CPO) LCM, HCF

The ratio of two numbers is 4 : 5, and their HCF is 3. What is their LCM?

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SSC CPO 9th Nov 2022 Shift 2

- The ratio of two numbers is given as 4:5.

- Let's denote the numbers as 4x and 5x, where x is a common factor.

- The highest common factor (HCF) of the two numbers is given as 3.

- Therefore, x equals 3, making the numbers 12 (4x3) and 15 (5x3).

- To find the least common multiple (LCM), we use the formula: LCM × HCF = Product of the numbers.

- Substituting, we have: LCM × 3 = 12 × 15.

- This simplifies to: LCM = 180 ÷ 3 = 60.

- Option 3, 60, is the correct answer.

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