LCM for 4, 7 and 14
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 4, 7 and 14?
Answer
LCM of 4, 7 and 14 is
28
First common multiples: 28, 56, 84, …
28 is divisible by all three: 28 ÷ 4 = 7, 28 ÷ 7 = 4, 28 ÷ 14 = 2 — and 7, 4 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/4 by 7 and of y/7 by 4 and of z/14 by 2.
4 = 22
7 — prime
14 = 2 × 7
| Prime | 4 | 7 | 14 | Highest power |
|---|---|---|---|---|
| 2 | 22 | — | 2 | 22 |
| 7 | — | 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 × 7 = 28
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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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