LCM for 180 and 240
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What's the Least Common Multiple (LCM) of 180 and 240?
Answer
LCM of 180 and 240 is
720
First common multiples: 720; 1,440; 2,160; …
720 is divisible by both: 720 ÷ 180 = 4, 720 ÷ 240 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/180 by 4 and of y/240 by 3.
180 = 22 × 32 × 5
240 = 24 × 3 × 5
| Prime | 180 | 240 | Highest power |
|---|---|---|---|
| 2 | 22 | 24 | 24 |
| 3 | 32 | 3 | 32 |
| 5 | 5 | 5 | 5 |
LCM = 24 × 32 × 5 = 720
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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 |
|---|---|---|
| 180 | 225 | 900 |
| 180 | 226 | 20,340 |
| 180 | 227 | 40,860 |
| 180 | 228 | 3,420 |
| 180 | 229 | 41,220 |
| 180 | 230 | 4,140 |
| 180 | 231 | 13,860 |
| 180 | 232 | 10,440 |
| 180 | 233 | 41,940 |
| 180 | 234 | 2,340 |
| 180 | 235 | 8,460 |
| 180 | 236 | 10,620 |
| 180 | 237 | 14,220 |
| 180 | 238 | 21,420 |
| 180 | 239 | 43,020 |
| 180 | 240 | 720 |
| 180 | 241 | 43,380 |
| 180 | 242 | 21,780 |
| 180 | 243 | 4,860 |
| 180 | 244 | 10,980 |
| 180 | 245 | 8,820 |
| 180 | 246 | 7,380 |
| 180 | 247 | 44,460 |
| 180 | 248 | 11,160 |
| 180 | 249 | 14,940 |
| 180 | 250 | 4,500 |
| 180 | 251 | 45,180 |
| 180 | 252 | 1,260 |
| 180 | 253 | 45,540 |
| 180 | 254 | 22,860 |