LCM for 150 and 275
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What's the Least Common Multiple (LCM) of 150 and 275?
Answer
LCM of 150 and 275 is
1,650
First common multiples: 1,650; 3,300; 4,950; …
1,650 is divisible by both: 1,650 ÷ 150 = 11; 1,650 ÷ 275 = 6 — and 11 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/150 by 11 and of y/275 by 6.
150 = 2 × 3 × 52
275 = 52 × 11
| Prime | 150 | 275 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 3 | — | 3 |
| 5 | 52 | 52 | 52 |
| 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 = 2 × 3 × 52 × 11 = 1,650
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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 |
|---|---|---|
| 150 | 260 | 3,900 |
| 150 | 261 | 13,050 |
| 150 | 262 | 19,650 |
| 150 | 263 | 39,450 |
| 150 | 264 | 6,600 |
| 150 | 265 | 7,950 |
| 150 | 266 | 19,950 |
| 150 | 267 | 13,350 |
| 150 | 268 | 20,100 |
| 150 | 269 | 40,350 |
| 150 | 270 | 1,350 |
| 150 | 271 | 40,650 |
| 150 | 272 | 20,400 |
| 150 | 273 | 13,650 |
| 150 | 274 | 20,550 |
| 150 | 275 | 1,650 |
| 150 | 276 | 6,900 |
| 150 | 277 | 41,550 |
| 150 | 278 | 20,850 |
| 150 | 279 | 13,950 |
| 150 | 280 | 4,200 |
| 150 | 281 | 42,150 |
| 150 | 282 | 7,050 |
| 150 | 283 | 42,450 |
| 150 | 284 | 21,300 |
| 150 | 285 | 2,850 |
| 150 | 286 | 21,450 |
| 150 | 287 | 43,050 |
| 150 | 288 | 7,200 |
| 150 | 289 | 43,350 |