LCM for 3, 9 and 18
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 3, 9 and 18?
Answer
LCM of 3, 9 and 18 is
18
First common multiples: 18, 36, 54, …
18 is divisible by all three: 18 ÷ 3 = 6, 18 ÷ 9 = 2, 18 ÷ 18 = 1 — and 6, 2 and 1 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/3 by 6 and of y/9 by 2.
3 — prime
9 = 32
18 = 2 × 32
| Prime | 3 | 9 | 18 | Highest power |
|---|---|---|---|---|
| 2 | — | — | 2 | 2 |
| 3 | 3 | 32 | 32 | 32 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 32 = 18
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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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