LCM for 270 and 450
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What's the Least Common Multiple (LCM) of 270 and 450?
Answer
LCM of 270 and 450 is
1,350
First common multiples: 1,350; 2,700; 4,050; …
1,350 is divisible by both: 1,350 ÷ 270 = 5; 1,350 ÷ 450 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/270 by 5 and of y/450 by 3.
270 = 2 × 33 × 5
450 = 2 × 32 × 52
| Prime | 270 | 450 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | 33 | 32 | 33 |
| 5 | 5 | 52 | 52 |
LCM = 2 × 33 × 52 = 1,350
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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 |
|---|---|---|
| 270 | 435 | 7,830 |
| 270 | 436 | 58,860 |
| 270 | 437 | 117,990 |
| 270 | 438 | 19,710 |
| 270 | 439 | 118,530 |
| 270 | 440 | 11,880 |
| 270 | 441 | 13,230 |
| 270 | 442 | 59,670 |
| 270 | 443 | 119,610 |
| 270 | 444 | 19,980 |
| 270 | 445 | 24,030 |
| 270 | 446 | 60,210 |
| 270 | 447 | 40,230 |
| 270 | 448 | 60,480 |
| 270 | 449 | 121,230 |
| 270 | 450 | 1,350 |
| 270 | 451 | 121,770 |
| 270 | 452 | 61,020 |
| 270 | 453 | 40,770 |
| 270 | 454 | 61,290 |
| 270 | 455 | 24,570 |
| 270 | 456 | 20,520 |
| 270 | 457 | 123,390 |
| 270 | 458 | 61,830 |
| 270 | 459 | 4,590 |
| 270 | 460 | 12,420 |
| 270 | 461 | 124,470 |
| 270 | 462 | 20,790 |
| 270 | 463 | 125,010 |
| 270 | 464 | 62,640 |