LCM for 200 and 250
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What's the Least Common Multiple (LCM) of 200 and 250?
Answer
LCM of 200 and 250 is
1,000
First common multiples: 1,000; 2,000; 3,000; …
1,000 is divisible by both: 1,000 ÷ 200 = 5; 1,000 ÷ 250 = 4 — and 5 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/200 by 5 and of y/250 by 4.
200 = 23 × 52
250 = 2 × 53
| Prime | 200 | 250 | Highest power |
|---|---|---|---|
| 2 | 23 | 2 | 23 |
| 5 | 52 | 53 | 53 |
LCM = 23 × 53 = 1,000
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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 |
|---|---|---|
| 200 | 235 | 9,400 |
| 200 | 236 | 11,800 |
| 200 | 237 | 47,400 |
| 200 | 238 | 23,800 |
| 200 | 239 | 47,800 |
| 200 | 240 | 1,200 |
| 200 | 241 | 48,200 |
| 200 | 242 | 24,200 |
| 200 | 243 | 48,600 |
| 200 | 244 | 12,200 |
| 200 | 245 | 9,800 |
| 200 | 246 | 24,600 |
| 200 | 247 | 49,400 |
| 200 | 248 | 6,200 |
| 200 | 249 | 49,800 |
| 200 | 250 | 1,000 |
| 200 | 251 | 50,200 |
| 200 | 252 | 12,600 |
| 200 | 253 | 50,600 |
| 200 | 254 | 25,400 |
| 200 | 255 | 10,200 |
| 200 | 256 | 6,400 |
| 200 | 257 | 51,400 |
| 200 | 258 | 25,800 |
| 200 | 259 | 51,800 |
| 200 | 260 | 2,600 |
| 200 | 261 | 52,200 |
| 200 | 262 | 26,200 |
| 200 | 263 | 52,600 |
| 200 | 264 | 6,600 |