LCM for 5, 25 and 30
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What's the Least Common Multiple (LCM) of 5, 25 and 30?
Answer
LCM of 5, 25 and 30 is
150
First common multiples: 150, 300, 450, …
150 is divisible by all three: 150 ÷ 5 = 30, 150 ÷ 25 = 6, 150 ÷ 30 = 5 — and 30, 6 and 5 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/5 by 30 and of y/25 by 6 and of z/30 by 5.
5 — prime
25 = 52
30 = 2 × 3 × 5
| Prime | 5 | 25 | 30 | Highest power |
|---|---|---|---|---|
| 2 | — | — | 2 | 2 |
| 3 | — | — | 3 | 3 |
| 5 | 5 | 52 | 5 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 52 = 150
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See Also
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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