LCM for 9, 10 and 28
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What's the Least Common Multiple (LCM) of 9, 10 and 28?
Answer
LCM of 9, 10 and 28 is
1,260
First common multiples: 1,260; 2,520; 3,780; …
1,260 is divisible by all three: 1,260 ÷ 9 = 140; 1,260 ÷ 10 = 126; 1,260 ÷ 28 = 45 — and 140, 126 and 45 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/9 by 140 and of y/10 by 126 and of z/28 by 45.
9 = 32
10 = 2 × 5
28 = 22 × 7
| Prime | 9 | 10 | 28 | Highest power |
|---|---|---|---|---|
| 2 | — | 2 | 22 | 22 |
| 3 | 32 | — | — | 32 |
| 5 | — | 5 | — | 5 |
| 7 | — | — | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 5 × 7 = 1,260
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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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