LCM for 49 and 100
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What's the Least Common Multiple (LCM) of 49 and 100?
Answer
LCM of 49 and 100 is
4,900
First common multiples: 4,900; 9,800; 14,700; …
4,900 is divisible by both: 4,900 ÷ 49 = 100; 4,900 ÷ 100 = 49 — and 100 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 100 and of y/100 by 49.
49 and 100 are coprime (GCF = 1), so their LCM is simply the product: 49 × 100 = 4,900.
49 = 72
100 = 22 × 52
| Prime | 49 | 100 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 5 | — | 52 | 52 |
| 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 × 52 × 72 = 4,900
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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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