Question

The ratio of twi numbers is 3:4 and their HCF is 4. Find the numbers and their LCM.​

Answer 1

Let the numbers be  3x and 4x . Then their H.C.F = x. So, x=4

Therefore, The numbers are 12 and 16

L.C.M of 12 and 16 = 48

Answer 2

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, 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.