
What is the Least Common Multiple (LCM) of 25, 30, and 51? Here we will show you step-by-step how to find the Least Common Multiple of 25, 30, and 51.
Step 1) First we find and list the prime factors of 25, 30, and 51 (Prime Factorization):
Prime Factors of 25:
5, 5
Prime Factors of 30:
2, 3, 5
Prime Factors of 51:
3, 17
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, 3, 5, 5, 17
Step 3) Finally, we multiply the prime numbers from Step 2 together.
2 x 3 x 5 x 5 x 17 = 2550
That's it. The Least Common Multiple (LCM) of 25, 30, and 51 is 2550.
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Least Common Multiple (LCM) of 25, 30, and 52
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