LCM for 228 and 380
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What's the Least Common Multiple (LCM) of 228 and 380?
Answer
LCM of 228 and 380 is
1,140
First common multiples: 1,140; 2,280; 3,420; …
1,140 is divisible by both: 1,140 ÷ 228 = 5; 1,140 ÷ 380 = 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/228 by 5 and of y/380 by 3.
228 = 22 × 3 × 19
380 = 22 × 5 × 19
| Prime | 228 | 380 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | 3 | — | 3 |
| 5 | — | 5 | 5 |
| 19 | 19 | 19 | 19 |
— = 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 × 19 = 1,140
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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 |
|---|---|---|
| 228 | 365 | 83,220 |
| 228 | 366 | 13,908 |
| 228 | 367 | 83,676 |
| 228 | 368 | 20,976 |
| 228 | 369 | 28,044 |
| 228 | 370 | 42,180 |
| 228 | 371 | 84,588 |
| 228 | 372 | 7,068 |
| 228 | 373 | 85,044 |
| 228 | 374 | 42,636 |
| 228 | 375 | 28,500 |
| 228 | 376 | 21,432 |
| 228 | 377 | 85,956 |
| 228 | 378 | 14,364 |
| 228 | 379 | 86,412 |
| 228 | 380 | 1,140 |
| 228 | 381 | 28,956 |
| 228 | 382 | 43,548 |
| 228 | 383 | 87,324 |
| 228 | 384 | 7,296 |
| 228 | 385 | 87,780 |
| 228 | 386 | 44,004 |
| 228 | 387 | 29,412 |
| 228 | 388 | 22,116 |
| 228 | 389 | 88,692 |
| 228 | 390 | 14,820 |
| 228 | 391 | 89,148 |
| 228 | 392 | 22,344 |
| 228 | 393 | 29,868 |
| 228 | 394 | 44,916 |