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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
- A144
- B192
- C96
- D72
Answer not set
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0
CCommunity
144 : - option 1
0
CCommunity
Let the numbers be 2x, 3x and
4x respectively.
HCF = x = 12
Numbers are : 2 ×12 = 24
3 ×12 = 36, 4 ×12 = 48
LCM of 24, 36, 48
= 2 × 2 × 2 × 3 × 3 × 2 = 144
4x respectively.
HCF = x = 12
Numbers are : 2 ×12 = 24
3 ×12 = 36, 4 ×12 = 48
LCM of 24, 36, 48
= 2 × 2 × 2 × 3 × 3 × 2 = 144