LCM for 14 and 60
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What's the Least Common Multiple (LCM) of 14 and 60?
Answer
LCM of 14 and 60 is
420
First common multiples: 420; 840; 1,260; …
420 is divisible by both: 420 ÷ 14 = 30, 420 ÷ 60 = 7 — and 30 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/14 by 30 and of y/60 by 7.
14 = 2 × 7
60 = 22 × 3 × 5
| Prime | 14 | 60 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 3 | — | 3 | 3 |
| 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 × 3 × 5 × 7 = 420
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- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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