Question

Three number are in the ratio of 3:4:5 and their LCM is 2400. Their HCF is what?

Answer 1

Let the numbers be 3x,4x and 5x respectively.

so, the LCM is =3×4×5×x

2400=60x

x=2400/60=40

So, the numbers are 120,160 and 200 respectively

Now,the HCF of the numbers is =40