LCM for 198 and 220
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What's the Least Common Multiple (LCM) of 198 and 220?
Answer
LCM of 198 and 220 is
1,980
First common multiples: 1,980; 3,960; 5,940; …
1,980 is divisible by both: 1,980 ÷ 198 = 10; 1,980 ÷ 220 = 9 — and 10 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/198 by 10 and of y/220 by 9.
198 = 2 × 32 × 11
220 = 22 × 5 × 11
| Prime | 198 | 220 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 3 | 32 | — | 32 |
| 5 | — | 5 | 5 |
| 11 | 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 = 22 × 32 × 5 × 11 = 1,980
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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 |
|---|---|---|
| 198 | 205 | 40,590 |
| 198 | 206 | 20,394 |
| 198 | 207 | 4,554 |
| 198 | 208 | 20,592 |
| 198 | 209 | 3,762 |
| 198 | 210 | 6,930 |
| 198 | 211 | 41,778 |
| 198 | 212 | 20,988 |
| 198 | 213 | 14,058 |
| 198 | 214 | 21,186 |
| 198 | 215 | 42,570 |
| 198 | 216 | 2,376 |
| 198 | 217 | 42,966 |
| 198 | 218 | 21,582 |
| 198 | 219 | 14,454 |
| 198 | 220 | 1,980 |
| 198 | 221 | 43,758 |
| 198 | 222 | 7,326 |
| 198 | 223 | 44,154 |
| 198 | 224 | 22,176 |
| 198 | 225 | 4,950 |
| 198 | 226 | 22,374 |
| 198 | 227 | 44,946 |
| 198 | 228 | 7,524 |
| 198 | 229 | 45,342 |
| 198 | 230 | 22,770 |
| 198 | 231 | 1,386 |
| 198 | 232 | 22,968 |
| 198 | 233 | 46,134 |
| 198 | 234 | 2,574 |