LCM for 4, 7 and 13
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What's the Least Common Multiple (LCM) of 4, 7 and 13?
Answer
LCM of 4, 7 and 13 is
364
First common multiples: 364; 728; 1,092; …
364 is divisible by all three: 364 ÷ 4 = 91, 364 ÷ 7 = 52, 364 ÷ 13 = 28 — and 91, 52 and 28 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 91 and of y/7 by 52 and of z/13 by 28.
4 = 22
7 — prime
13 — prime
| Prime | 4 | 7 | 13 | Highest power |
|---|---|---|---|---|
| 2 | 22 | — | — | 22 |
| 7 | — | 7 | — | 7 |
| 13 | — | — | 13 | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 7 × 13 = 364
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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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