Three numbers are in the ratio 2 : 3 : 4 and their H.C.F. is 12 . The L.C.M. of the numbers is _____?

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Three numbers are in the ratio 2 : 3 : 4 and their H.C.F. is 12 . The L.C.M. of the numbers is _____? Answer: 144

The numbers are 2x, 3x, and 4x with an HCF of 12. So, x = 12. Numbers are 24, 36, and 48. Calculating LCM LCM(24, 36, 48) = 2₄ * 3₂ = 144