

Let a and b are two numbers, then
a * b = LCM(a, b) * HCF(a, b)
Let us take some examples regarding your question
Ex 1: Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. What are these numbers?
Solu: Let the numbers are x, 2x, 3x
Now given HCF(x, 2x, 3x) = 12
=> x = 12
So, the numbers are 12, 2*12, 3*12 = 12, 24, 36
Ex 2: Two numbers are in the ratio 3 : 4 and their HCF is 4. What is their LCM?
Solu: Let the numbers are 3x, 4x
Now given HCF(3x, 4x) = 4
=> x = 4
So, the numbers are 3*4, 4*4 = 12, 16
Now, LCM(12, 16) = 48
Hope you got the point.
