he LCM of two numbers is 360 and their HCF is 15. One of the numbers is 45. The other is Options :406080120

The problem is asking for the other number given that the Least Common Multiple (LCM) of two numbers is 360 and their Highest Common Factor (HCF) is 15. One of the numbers is 45.

Here are the steps to solve the problem:

Step 1: Understand the relationship between LCM, HCF, and the numbers. The product of two numbers is equal to the product of their LCM and HCF.

So, if we let the numbers be a and b, we have:

a * b = LCM * HCF

Step 2: Substitute the given values into the equation. We know that one of the numbers (a) is 45, the LCM is 360, and the HCF is 15.

So, 45 * b = 360 * 15

Step 3: Solve for b.

b = (360 * 15) / 45

b = 120

So, the other number is 120.