Question

18. The ratio of two numbers is 3:4 and their HCF is 4.
Their LCM is .
a) 12
Nb) 16
c) 24
d) 48​

Answer 1

Answer:

D) 48 is the answer

Step-by-step explanation:

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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