LCM for 49 and 60
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What's the Least Common Multiple (LCM) of 49 and 60?
Answer
LCM of 49 and 60 is
2,940
First common multiples: 2,940; 5,880; 8,820; …
2,940 is divisible by both: 2,940 ÷ 49 = 60; 2,940 ÷ 60 = 49 — and 60 and 49 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/49 by 60 and of y/60 by 49.
49 and 60 are coprime (GCF = 1), so their LCM is simply the product: 49 × 60 = 2,940.
49 = 72
60 = 22 × 3 × 5
| Prime | 49 | 60 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 3 | — | 3 | 3 |
| 5 | — | 5 | 5 |
| 7 | 72 | — | 72 |
— = 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 × 72 = 2,940
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See Also
- 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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