LCM for 4, 7 and 10
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What's the Least Common Multiple (LCM) of 4, 7 and 10?
Answer
LCM of 4, 7 and 10 is
140
First common multiples: 140, 280, 420, …
140 is divisible by all three: 140 ÷ 4 = 35, 140 ÷ 7 = 20, 140 ÷ 10 = 14 — and 35, 20 and 14 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 35 and of y/7 by 20 and of z/10 by 14.
4 = 22
7 — prime
10 = 2 × 5
| Prime | 4 | 7 | 10 | Highest power |
|---|---|---|---|---|
| 2 | 22 | — | 2 | 22 |
| 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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