Question

The ratio of two numbers is 3:4 and their HCF is4, then what is their LCM?​

Answer 1

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

3x 3 x 4 12

And

4x 4 x 4 16

We know,

HCF 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

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