LCM for 5, 8 and 20
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What's the Least Common Multiple (LCM) of 5, 8 and 20?
Answer
LCM of 5, 8 and 20 is
40
First common multiples: 40, 80, 120, …
40 is divisible by all three: 40 ÷ 5 = 8, 40 ÷ 8 = 5, 40 ÷ 20 = 2 — and 8, 5 and 2 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 8 and of y/8 by 5 and of z/20 by 2.
5 — prime
8 = 23
20 = 22 × 5
| Prime | 5 | 8 | 20 | Highest power |
|---|---|---|---|---|
| 2 | — | 23 | 22 | 23 |
| 5 | 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 = 23 × 5 = 40
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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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