Least Common Multiple of 48, 60, and 90 (LCM of 48, 60, and 90)

Least Common Multiple (LCM) of 48, 60, and 90

What is the Least Common Multiple (LCM) of 48, 60, and 90? Here we will show you step-by-step how to find the Least Common Multiple of 48, 60, and 90.

Step 1) First we find and list the prime factors of 48, 60, and 90 (Prime Factorization):

Prime Factors of 48:
2, 2, 2, 2, 3

Prime Factors of 60:
2, 2, 3, 5

Prime Factors of 90:
2, 3, 3, 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, 3, 5

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

2 x 2 x 2 x 2 x 3 x 3 x 5 = 720

That's it. The Least Common Multiple (LCM) of 48, 60, and 90 is 720.

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Least Common Multiple (LCM) of 48, 60, and 91
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