LCM for 5, 10 and 13
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What's the Least Common Multiple (LCM) of 5, 10 and 13?
Answer
LCM of 5, 10 and 13 is
130
First common multiples: 130, 260, 390, …
130 is divisible by all three: 130 ÷ 5 = 26, 130 ÷ 10 = 13, 130 ÷ 13 = 10 — and 26, 13 and 10 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 26 and of y/10 by 13 and of z/13 by 10.
5 — prime
10 = 2 × 5
13 — prime
| Prime | 5 | 10 | 13 | Highest power |
|---|---|---|---|---|
| 2 | — | 2 | — | 2 |
| 5 | 5 | 5 | — | 5 |
| 13 | — | — | 13 | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 5 × 13 = 130
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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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