Question

If the ratio of two numbers is 2;3 and their G.C.F is 8 what is their L.C.M

Answer 1

Expert Answer:

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

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,I

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 , 48