Multiple choice general knowledge science & technology

The ratio of two numbers is 13 : 15 and their LCM is 39780. The numbers are-

  1. 2652,3060

  2. 884, 1020

  3. 884, 1040

  4. 670, 1340
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A Correct answer
Explanation

Let numbers be 13x and 15x. LCM(13x, 15x) = LCM(13,15) x x = 195x = 39780, so x = 204. Numbers are 13x204 = 2652 and 15x204 = 3060. Verification: LCM of 2652 and 3060 is indeed 39780, maintaining the 13:15 ratio.

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