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

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

Explanation

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) = 2^4 * 3^2 = 144