Least Common Multiple of 4, 7, and 16 (LCM of 4, 7, and 16)

Least Common Multiple (LCM) of 4, 7, and 16

What is the Least Common Multiple (LCM) of 4, 7, and 16? Here we will show you step-by-step how to find the Least Common Multiple of 4, 7, and 16.

Step 1) First we find and list the prime factors of 4, 7, and 16 (Prime Factorization):

Prime Factors of 4:
2, 2

Prime Factors of 7:
7

Prime Factors of 16:
2, 2, 2, 2

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, 2, 7

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

2 x 2 x 2 x 2 x 7 = 112

That's it. The Least Common Multiple (LCM) of 4, 7, and 16 is 112.

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Least Common Multiple (LCM) of 4, 7, and 17
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