Least Common Multiple (LCM) of 3, 7, and 14




What is the Least Common Multiple (LCM) of 3, 7, and 14? Here we will show you step-by-step how to find the Least Common Multiple of 3, 7, and 14.

Step 1) First we find and list the prime factors of 3, 7, and 14 (Prime Factorization):

Prime Factors of 3:
3

Prime Factors of 7:
7

Prime Factors of 14:
2, 7

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

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

2 x 3 x 7 = 42

That's it. The Least Common Multiple (LCM) of 3, 7, and 14 is 42.


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Least Common Multiple (LCM) of 3, 7, and 15
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