Question

If the ratio of two numbers is 3 : 4 and their H.C.F. is 4, what is the L.C.M. of the two numbers ? The ratio​

Answer 1

Answer:

Step-by-step explanation:

Let the numbers are 3x and 4x

As the H.C.F. is the common factor so H.C.F. is x

So, H.C.F = x = 4

So the numbers are 12 and 16

L.C.M × H.C.F. = Product of two numbers

⇒ L.C.M = Product/H.C.F.

⇒ L.C.M = (12 × 16) /4

∴ L.C.M = 48

Hope this helps :)

Answer 2

Answer:

1:12 (OR) 12:1

Step-by-step explanation:

Let the numbers be 3x and 4x.

Then, their HCF =x

So, x=4 .... given

So, the numbers are 3x=12 and 4x=16.

LCM of 12 and 16 is 48.

The Ratio of HCF and LCM is 4:48 or 1:12

The Ratio of LCM and HCF is 48:4 or 12:1