Multiple choice general knowledge math & puzzles

The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

  1. 12

  2. 16

  3. 24

  4. 48
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let numbers be 3x and 4x. HCF is x=4, so numbers are 12 and 16. LCM = (12×16)/HCF(12,16) = 192/4 = 48. Alternatively, LCM = 3×4×4 = 48 since HCF=4.

AI explanation

If the ratio of two numbers is 3:4 and their HCF is 4, the numbers themselves are 3×4=12 and 4×4=16. For any two numbers, the product of the LCM and HCF equals the product of the numbers, so LCM = (12×16)/4 = 48.

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