Least Common Multiple (LCM) of 4, 7, and 20




What is the Least Common Multiple (LCM) of 4, 7, and 20? Here we will show you step-by-step how to find the Least Common Multiple of 4, 7, and 20.

Step 1) First we find and list the prime factors of 4, 7, and 20 (Prime Factorization):

Prime Factors of 4:
2, 2

Prime Factors of 7:
7

Prime Factors of 20:
2, 2, 5

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, 5, 7

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

2 x 2 x 5 x 7 = 140

That's it. The Least Common Multiple (LCM) of 4, 7, and 20 is 140.


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Least Common Multiple (LCM) of 4, 7, and 21
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