The least common multiple of two numbers is 3720, and their greatest common divisor is 8. Given that one of the numbers is 120, what is the other number?
We know that $\gcd(a,b) \cdot \mathop{\text{lcm}}[a,b] = ab$ for all positive integers $a$ and $b$.  Hence, in this case, the other number is $8 \cdot 3720/120 = \boxed{248}$.