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Least Common Multiple (LCM) of 3, 7, and 12




What is the Least Common Multiple (LCM) of 3, 7, and 12? Here we will show you step-by-step how to find the Least Common Multiple of 3, 7, and 12.

Step 1) First we find and list the prime factors of 3, 7, and 12 (Prime Factorization):

Prime Factors of 3:
3

Prime Factors of 7:
7

Prime Factors of 12:
2, 2, 3

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, 7

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

2 x 2 x 3 x 7 = 84

That's it. The Least Common Multiple (LCM) of 3, 7, and 12 is 84.




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Least Common Multiple (LCM) of 3, 7, and 13
Here is the next set of numbers we found the Least Common Multiple for.






Notes:
The Least Common Multiple of 3, 7, and 12 is the same as the Lowest Common Multiple of 3, 7, and 12 and the Smallest Common Multiple of 3, 7, and 12.


 


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