Question

1. 'If the ratio of two numbers is 3 : 4 and there H.C.F. is 4, What is the L.C.M. of the two
numbers?
2 5​

Answer 1

Answer:

see the ans

Step-by-step explanation

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 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.

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