The ratio of two numbers is 5:6, and their LCM is 480; then their HCF is?

None of these

Let the two numbers be 5x and 6x, where x is their HCF.

Step 1: Calculate the LCM

The LCM of 5x and 6x is 30x.

Step 2: Find x

Given that the LCM is 480, we can set up the equation:

30x = 480

x = 480 / 30

x = 16