Least Common Multiple of 10, 15, and 52 (LCM of 10, 15, and 52)

Least Common Multiple (LCM) of 10, 15, and 52

What is the Least Common Multiple (LCM) of 10, 15, and 52? Here we will show you step-by-step how to find the Least Common Multiple of 10, 15, and 52.

Step 1) First we find and list the prime factors of 10, 15, and 52 (Prime Factorization):

Prime Factors of 10:
2, 5

Prime Factors of 15:
3, 5

Prime Factors of 52:
2, 2, 13

Step 2) Then we look at the frequency of the prime factors as they appear in each set above. List each prime factor the greatest number of times it occurs in any of the sets:

2, 2, 3, 5, 13

Step 3) Finally, we multiply the prime numbers from Step 2 together.

2 x 2 x 3 x 5 x 13 = 780

That's it. The Least Common Multiple (LCM) of 10, 15, and 52 is 780.

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Least Common Multiple (LCM) of 10, 15, and 53
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