Multiple choice

Two numbers are in the ratio 3:5 and their LCM is 225. The smaller number is-

  1. 45

  2. 60

  3. 75

  4. 90
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A Correct answer
Explanation

Let the numbers be 3x and 5x. Since 3 and 5 are coprime (no common factors), their LCM = 3 × 5 × x = 15x. Given LCM is 225, we have 15x = 225, so x = 15. The smaller number is 3 × 15 = 45. This works because when two numbers are coprime, the LCM is their product.

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