Find the LCM of 10, 12, and 15

1 answer

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.
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