Three numbers are in the ratio 2 : 3 : 4 and their H.C.F.

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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

1. 144
2. 192
3. 96
4. 72

Correct Option: A

Let the numbers be 2p, 3p and 4p respectively.
∴ HCF = p = 12
∴ Numbers are : 2 × 12 = 24 , 3 × 12 = 36, 4 × 12 = 48
LCM of 24, 36, 48 = 2 × 2 × 2 × 3 × 3 × 2 = 144