LCM for 110 and 273
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What's the Least Common Multiple (LCM) of 110 and 273?
Answer
LCM of 110 and 273 is
30,030
First common multiples: 30,030; 60,060; 90,090; …
30,030 is divisible by both: 30,030 ÷ 110 = 273; 30,030 ÷ 273 = 110 — and 273 and 110 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/110 by 273 and of y/273 by 110.
110 and 273 are coprime (GCF = 1), so their LCM is simply the product: 110 × 273 = 30,030.
110 = 2 × 5 × 11
273 = 3 × 7 × 13
| Prime | 110 | 273 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 3 | 3 |
| 5 | 5 | — | 5 |
| 7 | — | 7 | 7 |
| 11 | 11 | — | 11 |
| 13 | — | 13 | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 5 × 7 × 11 × 13 = 30,030
More with these numbers
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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 |
|---|---|---|
| 110 | 258 | 14,190 |
| 110 | 259 | 28,490 |
| 110 | 260 | 2,860 |
| 110 | 261 | 28,710 |
| 110 | 262 | 14,410 |
| 110 | 263 | 28,930 |
| 110 | 264 | 1,320 |
| 110 | 265 | 5,830 |
| 110 | 266 | 14,630 |
| 110 | 267 | 29,370 |
| 110 | 268 | 14,740 |
| 110 | 269 | 29,590 |
| 110 | 270 | 2,970 |
| 110 | 271 | 29,810 |
| 110 | 272 | 14,960 |
| 110 | 273 | 30,030 |
| 110 | 274 | 15,070 |
| 110 | 275 | 550 |
| 110 | 276 | 15,180 |
| 110 | 277 | 30,470 |
| 110 | 278 | 15,290 |
| 110 | 279 | 30,690 |
| 110 | 280 | 3,080 |
| 110 | 281 | 30,910 |
| 110 | 282 | 15,510 |
| 110 | 283 | 31,130 |
| 110 | 284 | 15,620 |
| 110 | 285 | 6,270 |
| 110 | 286 | 1,430 |
| 110 | 287 | 31,570 |