LCM for 10, 16 and 18
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What's the Least Common Multiple (LCM) of 10, 16 and 18?
Answer
LCM of 10, 16 and 18 is
720
First common multiples: 720; 1,440; 2,160; …
720 is divisible by all three: 720 ÷ 10 = 72, 720 ÷ 16 = 45, 720 ÷ 18 = 40 — and 72, 45 and 40 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/10 by 72 and of y/16 by 45 and of z/18 by 40.
10 = 2 × 5
16 = 24
18 = 2 × 32
| Prime | 10 | 16 | 18 | Highest power |
|---|---|---|---|---|
| 2 | 2 | 24 | 2 | 24 |
| 3 | — | — | 32 | 32 |
| 5 | 5 | — | — | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 32 × 5 = 720
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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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