We are given two numbers $24 and $30.
We need to find the largest three-digit number that is a multiple of both $24 and $30.
So, we need to find the largest common multiple of 24 and 30.
<em>In order to find the largest common multiple, we need to multiply both numbers.</em>
If we multiply 24 and 30, we would get
24 × 30 = 720.
Therefore, the largest three-digit number that is a multiple of both $24 and $30 is 720.
