LCM for 28 and 49
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What's the Least Common Multiple (LCM) of 28 and 49?
Answer
LCM of 28 and 49 is
196
First common multiples: 196, 392, 588, …
196 is divisible by both: 196 ÷ 28 = 7, 196 ÷ 49 = 4 — and 7 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/28 by 7 and of y/49 by 4.
28 = 22 × 7
49 = 72
| Prime | 28 | 49 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 7 | 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 × 72 = 196
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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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