LCM for 8, 16 and 20
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What's the Least Common Multiple (LCM) of 8, 16 and 20?
Answer
LCM of 8, 16 and 20 is
80
First common multiples: 80, 160, 240, …
80 is divisible by all three: 80 ÷ 8 = 10, 80 ÷ 16 = 5, 80 ÷ 20 = 4 — and 10, 5 and 4 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/8 by 10 and of y/16 by 5 and of z/20 by 4.
8 = 23
16 = 24
20 = 22 × 5
| Prime | 8 | 16 | 20 | Highest power |
|---|---|---|---|---|
| 2 | 23 | 24 | 22 | 24 |
| 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 × 5 = 80
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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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