LCM for 150 and 250
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What's the Least Common Multiple (LCM) of 150 and 250?
Answer
LCM of 150 and 250 is
750
First common multiples: 750; 1,500; 2,250; …
750 is divisible by both: 750 ÷ 150 = 5, 750 ÷ 250 = 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/150 by 5 and of y/250 by 3.
150 = 2 × 3 × 52
250 = 2 × 53
| Prime | 150 | 250 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | 3 | — | 3 |
| 5 | 52 | 53 | 53 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 53 = 750
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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 | 235 | 7,050 |
| 150 | 236 | 17,700 |
| 150 | 237 | 11,850 |
| 150 | 238 | 17,850 |
| 150 | 239 | 35,850 |
| 150 | 240 | 1,200 |
| 150 | 241 | 36,150 |
| 150 | 242 | 18,150 |
| 150 | 243 | 12,150 |
| 150 | 244 | 18,300 |
| 150 | 245 | 7,350 |
| 150 | 246 | 6,150 |
| 150 | 247 | 37,050 |
| 150 | 248 | 18,600 |
| 150 | 249 | 12,450 |
| 150 | 250 | 750 |
| 150 | 251 | 37,650 |
| 150 | 252 | 6,300 |
| 150 | 253 | 37,950 |
| 150 | 254 | 19,050 |
| 150 | 255 | 2,550 |
| 150 | 256 | 19,200 |
| 150 | 257 | 38,550 |
| 150 | 258 | 6,450 |
| 150 | 259 | 38,850 |
| 150 | 260 | 3,900 |
| 150 | 261 | 13,050 |
| 150 | 262 | 19,650 |
| 150 | 263 | 39,450 |
| 150 | 264 | 6,600 |