Least Common Multiple of 24, 56, and 69 (LCM of 24, 56, and 69)

Least Common Multiple (LCM) of 24, 56, and 69

What is the Least Common Multiple (LCM) of 24, 56, and 69? Here we will show you step-by-step how to find the Least Common Multiple of 24, 56, and 69.

Step 1) First we find and list the prime factors of 24, 56, and 69 (Prime Factorization):

Prime Factors of 24:
2, 2, 2, 3

Prime Factors of 56:
2, 2, 2, 7

Prime Factors of 69:
3, 23

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, 2, 3, 7, 23

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

2 x 2 x 2 x 3 x 7 x 23 = 3864

That's it. The Least Common Multiple (LCM) of 24, 56, and 69 is 3864.

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Least Common Multiple (LCM) of 24, 56, and 70
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