Lowest Common Multiple of a Set

The Lowest Common Multiple of a set of numbers will be equal to the product of the highest power of each prime that appears in the list. Since $8 = 2^3, 9 = 3^2, 10 = 2 \times 5, 12 = 2^2 \times 3$ , their LCM is going to be $2^3 \times 3^2 \times 5^1 = 360$ .