Find the LCM of 10, 12, and 15

The LCM of 10, 12, and 15 is the smallest number that is divisible by all three numbers.

The prime factors of 10 are 2 and 5
The prime factors of 12 are 2, 2, and 3
The prime factors of 15 are 3 and 5

To find the LCM, we list the prime factors of each number and take the highest power of each prime factor that appears:

2^2 * 3 * 5 = 60

Therefore, the LCM of 10, 12, and 15 is 60.