If the least common multiple (LCM) of two numbers is 48 and their highest common factor (HCF) is 8, and one of the numbers is 16, what is the other number?

November 26, 2024 by devyy

To find the other number when you know the LCM and HCF, you can use the relationship between them:

LCM × HCF = Number 1 × Number 2

In this case:

Let’s denote the other number as Number 2. Plugging in the values we have:

48 × 8 = 16 × Number 2

This simplifies to:

384 = 16 × Number 2

Now, to find Number 2, we can rearrange the equation:

Number 2 = 384 / 16

Calculating that gives:

Number 2 = 24

Therefore, the other number is 24.

Thus, the pair of numbers satisfying the conditions are 16 and 24.