LCM for 4, 6 and 12
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 4, 6 and 12?
Answer
LCM of 4, 6 and 12 is
12
First common multiples: 12, 24, 36, …
12 is divisible by all three: 12 ÷ 4 = 3, 12 ÷ 6 = 2, 12 ÷ 12 = 1 — and 3, 2 and 1 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 3 and of y/6 by 2.
4 = 22
6 = 2 × 3
12 = 22 × 3
| Prime | 4 | 6 | 12 | Highest power |
|---|---|---|---|---|
| 2 | 22 | 2 | 22 | 22 |
| 3 | — | 3 | 3 | 3 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 = 12
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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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