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