Least Common Multiple (LCM) of 16, 24, and 40




What is the Least Common Multiple (LCM) of 16, 24, and 40? Here we will show you step-by-step how to find the Least Common Multiple of 16, 24, and 40.

Step 1) First we find and list the prime factors of 16, 24, and 40 (Prime Factorization):

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

Prime Factors of 24:
2, 2, 2, 3

Prime Factors of 40:
2, 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, 2, 2, 3, 5

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

2 x 2 x 2 x 2 x 3 x 5 = 240

That's it. The Least Common Multiple (LCM) of 16, 24, and 40 is 240.


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Least Common Multiple (LCM) of 16, 24, and 41
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