Three numbers are in the ratio 2 : 3 : 4. If their LCM is 480, then their HCF is ..............

  1. A. 40
  2. B. 2.2
  3. C. 20
  4. D. 80

Correct Answer: A. 40

Explanation

Let the numbers be 2x, 3x, and 4x. Their LCM is 12x. Given 12x = 480 \Rightarrow x = 40. The HCF of 2x, 3x, 4x is x, which is 40.

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