LCM for 12, 15 and 25
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What's the Least Common Multiple (LCM) of 12, 15 and 25?
Answer
LCM of 12, 15 and 25 is
300
First common multiples: 300, 600, 900, …
300 is divisible by all three: 300 ÷ 12 = 25, 300 ÷ 15 = 20, 300 ÷ 25 = 12 — and 25, 20 and 12 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/12 by 25 and of y/15 by 20 and of z/25 by 12.
12 = 22 × 3
15 = 3 × 5
25 = 52
| Prime | 12 | 15 | 25 | Highest power |
|---|---|---|---|---|
| 2 | 22 | — | — | 22 |
| 3 | 3 | 3 | — | 3 |
| 5 | — | 5 | 52 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 52 = 300
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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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