LCM for 250 and 300
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 250 and 300?
Answer
LCM of 250 and 300 is
1,500
First common multiples: 1,500; 3,000; 4,500; …
1,500 is divisible by both: 1,500 ÷ 250 = 6; 1,500 ÷ 300 = 5 — and 6 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/250 by 6 and of y/300 by 5.
250 = 2 × 53
300 = 22 × 3 × 52
| Prime | 250 | 300 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 3 | — | 3 | 3 |
| 5 | 53 | 52 | 53 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 53 = 1,500
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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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LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 250 | 285 | 14,250 |
| 250 | 286 | 35,750 |
| 250 | 287 | 71,750 |
| 250 | 288 | 36,000 |
| 250 | 289 | 72,250 |
| 250 | 290 | 7,250 |
| 250 | 291 | 72,750 |
| 250 | 292 | 36,500 |
| 250 | 293 | 73,250 |
| 250 | 294 | 36,750 |
| 250 | 295 | 14,750 |
| 250 | 296 | 37,000 |
| 250 | 297 | 74,250 |
| 250 | 298 | 37,250 |
| 250 | 299 | 74,750 |
| 250 | 300 | 1,500 |
| 250 | 301 | 75,250 |
| 250 | 302 | 37,750 |
| 250 | 303 | 75,750 |
| 250 | 304 | 38,000 |
| 250 | 305 | 15,250 |
| 250 | 306 | 38,250 |
| 250 | 307 | 76,750 |
| 250 | 308 | 38,500 |
| 250 | 309 | 77,250 |
| 250 | 310 | 7,750 |
| 250 | 311 | 77,750 |
| 250 | 312 | 39,000 |
| 250 | 313 | 78,250 |
| 250 | 314 | 39,250 |