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

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.