LCM for 5, 14 and 20
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What's the Least Common Multiple (LCM) of 5, 14 and 20?
Answer
LCM of 5, 14 and 20 is
140
First common multiples: 140, 280, 420, …
140 is divisible by all three: 140 ÷ 5 = 28, 140 ÷ 14 = 10, 140 ÷ 20 = 7 — and 28, 10 and 7 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 28 and of y/14 by 10 and of z/20 by 7.
5 — prime
14 = 2 × 7
20 = 22 × 5
| Prime | 5 | 14 | 20 | Highest power |
|---|---|---|---|---|
| 2 | — | 2 | 22 | 22 |
| 5 | 5 | — | 5 | 5 |
| 7 | — | 7 | — | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 5 × 7 = 140
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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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