Number Theory
# Greatest Common Divisor / Lowest Common Multiple

If the lowest common multiple of $4,6,8,9,$ and $x$ is $504,$ what is the third smallest possible integer $x?$

**Note:** Third smallest means the third value of $x$ if the possible values were listed from least to greatest.

What is the lowest common multiple of the numbers 8, 9, 10, and 12?