LCM for 210 and 300
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What's the Least Common Multiple (LCM) of 210 and 300?
Answer
LCM of 210 and 300 is
2,100
First common multiples: 2,100; 4,200; 6,300; …
2,100 is divisible by both: 2,100 ÷ 210 = 10; 2,100 ÷ 300 = 7 — and 10 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/210 by 10 and of y/300 by 7.
210 = 2 × 3 × 5 × 7
300 = 22 × 3 × 52
| Prime | 210 | 300 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 3 | 3 | 3 | 3 |
| 5 | 5 | 52 | 52 |
| 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 = 22 × 3 × 52 × 7 = 2,100
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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 |
|---|---|---|
| 210 | 285 | 3,990 |
| 210 | 286 | 30,030 |
| 210 | 287 | 8,610 |
| 210 | 288 | 10,080 |
| 210 | 289 | 60,690 |
| 210 | 290 | 6,090 |
| 210 | 291 | 20,370 |
| 210 | 292 | 30,660 |
| 210 | 293 | 61,530 |
| 210 | 294 | 1,470 |
| 210 | 295 | 12,390 |
| 210 | 296 | 31,080 |
| 210 | 297 | 20,790 |
| 210 | 298 | 31,290 |
| 210 | 299 | 62,790 |
| 210 | 300 | 2,100 |
| 210 | 301 | 9,030 |
| 210 | 302 | 31,710 |
| 210 | 303 | 21,210 |
| 210 | 304 | 31,920 |
| 210 | 305 | 12,810 |
| 210 | 306 | 10,710 |
| 210 | 307 | 64,470 |
| 210 | 308 | 4,620 |
| 210 | 309 | 21,630 |
| 210 | 310 | 6,510 |
| 210 | 311 | 65,310 |
| 210 | 312 | 10,920 |
| 210 | 313 | 65,730 |
| 210 | 314 | 32,970 |