LCM for 250 and 350
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What's the Least Common Multiple (LCM) of 250 and 350?
Answer
LCM of 250 and 350 is
1,750
First common multiples: 1,750; 3,500; 5,250; …
1,750 is divisible by both: 1,750 ÷ 250 = 7; 1,750 ÷ 350 = 5 — and 7 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 7 and of y/350 by 5.
250 = 2 × 53
350 = 2 × 52 × 7
| Prime | 250 | 350 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 5 | 53 | 52 | 53 |
| 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 = 2 × 53 × 7 = 1,750
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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 | 335 | 16,750 |
| 250 | 336 | 42,000 |
| 250 | 337 | 84,250 |
| 250 | 338 | 42,250 |
| 250 | 339 | 84,750 |
| 250 | 340 | 8,500 |
| 250 | 341 | 85,250 |
| 250 | 342 | 42,750 |
| 250 | 343 | 85,750 |
| 250 | 344 | 43,000 |
| 250 | 345 | 17,250 |
| 250 | 346 | 43,250 |
| 250 | 347 | 86,750 |
| 250 | 348 | 43,500 |
| 250 | 349 | 87,250 |
| 250 | 350 | 1,750 |
| 250 | 351 | 87,750 |
| 250 | 352 | 44,000 |
| 250 | 353 | 88,250 |
| 250 | 354 | 44,250 |
| 250 | 355 | 17,750 |
| 250 | 356 | 44,500 |
| 250 | 357 | 89,250 |
| 250 | 358 | 44,750 |
| 250 | 359 | 89,750 |
| 250 | 360 | 9,000 |
| 250 | 361 | 90,250 |
| 250 | 362 | 45,250 |
| 250 | 363 | 90,750 |
| 250 | 364 | 45,500 |