492. Find the least common multiple of the natural numbers $n$ and $n+3$.
$\triangle$ The answer depends on the greatest common divisor of the numbers $n$ and $n+3$. It is 1 if $n$ is not divisible by 3, and 3 if $n$ is divisible by 3 (see problem 457).

Answer: $n(n+3)$, if $n$ is not divisible by 3, and $\frac{1}{3} n(n+3)$, if $n$ is divisible by 3.