LCM for 54 and 250
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What's the Least Common Multiple (LCM) of 54 and 250?
Answer
LCM of 54 and 250 is
6,750
First common multiples: 6,750; 13,500; 20,250; …
6,750 is divisible by both: 6,750 ÷ 54 = 125; 6,750 ÷ 250 = 27 — and 125 and 27 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 125 and of y/250 by 27.
54 = 2 × 33
250 = 2 × 53
| Prime | 54 | 250 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | 33 | — | 33 |
| 5 | — | 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 × 33 × 53 = 6,750
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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 |
|---|---|---|
| 54 | 235 | 12,690 |
| 54 | 236 | 6,372 |
| 54 | 237 | 4,266 |
| 54 | 238 | 6,426 |
| 54 | 239 | 12,906 |
| 54 | 240 | 2,160 |
| 54 | 241 | 13,014 |
| 54 | 242 | 6,534 |
| 54 | 243 | 486 |
| 54 | 244 | 6,588 |
| 54 | 245 | 13,230 |
| 54 | 246 | 2,214 |
| 54 | 247 | 13,338 |
| 54 | 248 | 6,696 |
| 54 | 249 | 4,482 |
| 54 | 250 | 6,750 |
| 54 | 251 | 13,554 |
| 54 | 252 | 756 |
| 54 | 253 | 13,662 |
| 54 | 254 | 6,858 |
| 54 | 255 | 4,590 |
| 54 | 256 | 6,912 |
| 54 | 257 | 13,878 |
| 54 | 258 | 2,322 |
| 54 | 259 | 13,986 |
| 54 | 260 | 7,020 |
| 54 | 261 | 1,566 |
| 54 | 262 | 7,074 |
| 54 | 263 | 14,202 |
| 54 | 264 | 2,376 |