LCM for 220 and 420
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What's the Least Common Multiple (LCM) of 220 and 420?
Answer
LCM of 220 and 420 is
4,620
First common multiples: 4,620; 9,240; 13,860; …
4,620 is divisible by both: 4,620 ÷ 220 = 21; 4,620 ÷ 420 = 11 — and 21 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/220 by 21 and of y/420 by 11.
220 = 22 × 5 × 11
420 = 22 × 3 × 5 × 7
| Prime | 220 | 420 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | — | 3 | 3 |
| 5 | 5 | 5 | 5 |
| 7 | — | 7 | 7 |
| 11 | 11 | — | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 5 × 7 × 11 = 4,620
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 |
|---|---|---|
| 220 | 405 | 17,820 |
| 220 | 406 | 44,660 |
| 220 | 407 | 8,140 |
| 220 | 408 | 22,440 |
| 220 | 409 | 89,980 |
| 220 | 410 | 9,020 |
| 220 | 411 | 90,420 |
| 220 | 412 | 22,660 |
| 220 | 413 | 90,860 |
| 220 | 414 | 45,540 |
| 220 | 415 | 18,260 |
| 220 | 416 | 22,880 |
| 220 | 417 | 91,740 |
| 220 | 418 | 4,180 |
| 220 | 419 | 92,180 |
| 220 | 420 | 4,620 |
| 220 | 421 | 92,620 |
| 220 | 422 | 46,420 |
| 220 | 423 | 93,060 |
| 220 | 424 | 23,320 |
| 220 | 425 | 18,700 |
| 220 | 426 | 46,860 |
| 220 | 427 | 93,940 |
| 220 | 428 | 23,540 |
| 220 | 429 | 8,580 |
| 220 | 430 | 9,460 |
| 220 | 431 | 94,820 |
| 220 | 432 | 23,760 |
| 220 | 433 | 95,260 |
| 220 | 434 | 47,740 |