LCM for 10, 12 and 16
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What's the Least Common Multiple (LCM) of 10, 12 and 16?
Answer
LCM of 10, 12 and 16 is
240
First common multiples: 240, 480, 720, …
240 is divisible by all three: 240 ÷ 10 = 24, 240 ÷ 12 = 20, 240 ÷ 16 = 15 — and 24, 20 and 15 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 24 and of y/12 by 20 and of z/16 by 15.
10 = 2 × 5
12 = 22 × 3
16 = 24
| Prime | 10 | 12 | 16 | Highest power |
|---|---|---|---|---|
| 2 | 2 | 22 | 24 | 24 |
| 3 | — | 3 | — | 3 |
| 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 × 3 × 5 = 240
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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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