LCM for 196 and 294
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What's the Least Common Multiple (LCM) of 196 and 294?
Answer
LCM of 196 and 294 is
588
First common multiples: 588; 1,176; 1,764; …
588 is divisible by both: 588 ÷ 196 = 3, 588 ÷ 294 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/196 by 3 and of y/294 by 2.
196 = 22 × 72
294 = 2 × 3 × 72
| Prime | 196 | 294 | Highest power |
|---|---|---|---|
| 2 | 22 | 2 | 22 |
| 3 | — | 3 | 3 |
| 7 | 72 | 72 | 72 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 72 = 588
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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 |
|---|---|---|
| 196 | 279 | 54,684 |
| 196 | 280 | 1,960 |
| 196 | 281 | 55,076 |
| 196 | 282 | 27,636 |
| 196 | 283 | 55,468 |
| 196 | 284 | 13,916 |
| 196 | 285 | 55,860 |
| 196 | 286 | 28,028 |
| 196 | 287 | 8,036 |
| 196 | 288 | 14,112 |
| 196 | 289 | 56,644 |
| 196 | 290 | 28,420 |
| 196 | 291 | 57,036 |
| 196 | 292 | 14,308 |
| 196 | 293 | 57,428 |
| 196 | 294 | 588 |
| 196 | 295 | 57,820 |
| 196 | 296 | 14,504 |
| 196 | 297 | 58,212 |
| 196 | 298 | 29,204 |
| 196 | 299 | 58,604 |
| 196 | 300 | 14,700 |
| 196 | 301 | 8,428 |
| 196 | 302 | 29,596 |
| 196 | 303 | 59,388 |
| 196 | 304 | 14,896 |
| 196 | 305 | 59,780 |
| 196 | 306 | 29,988 |
| 196 | 307 | 60,172 |
| 196 | 308 | 2,156 |