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

### Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

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Since the numbers are in the ratio 3:4 then let the numbers be 3*x* and 4*x*.

Thus the H.C.F. of the two numbers = *x*.

But the H.C.F is given as 4.

So, *x* = 4.

So, the numbers are,

3x = 3 x 4 =12

And

4x = 4 x 4 = 16

We know,

H.C.F x L.C.M = Product of the two numbers

4 x L.C.M = 12 x 16

L.C.M = 48

Thus, the L.C.M of 12 and 16 is 48.

Since the numbers are in the ratio 3:4 then let the numbers be 3 Thus the H.C.F. of the two numbers = But the H.C.F is given as 4. So, So, the numbers are, 3x = 3 x 4 =12 And 4x = 4 x 4 = 16 We know, H.C.F x L.C.M = Product of the two numbers 4 x L.C.M = 12 x 16 L.C.M = 48 Thus, the L.C.M of 12 and 16 is 48. |

### Answered by | 4th Jun, 2014, 03:23: PM

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