Least Common Multiple of 3, 7, and 22 (LCM of 3, 7, and 22)

Least Common Multiple (LCM) of 3, 7, and 22

What is the Least Common Multiple (LCM) of 3, 7, and 22? Here we will show you step-by-step how to find the Least Common Multiple of 3, 7, and 22.

Step 1) First we find and list the prime factors of 3, 7, and 22 (Prime Factorization):

Prime Factors of 3:
3

Prime Factors of 7:
7

Prime Factors of 22:
2, 11

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, 3, 7, 11

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

2 x 3 x 7 x 11 = 462

That's it. The Least Common Multiple (LCM) of 3, 7, and 22 is 462.

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Least Common Multiple (LCM) of 3, 7, and 23
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