LCM for 112 and 192
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What's the Least Common Multiple (LCM) of 112 and 192?
Answer
LCM of 112 and 192 is
1,344
First common multiples: 1,344; 2,688; 4,032; …
1,344 is divisible by both: 1,344 ÷ 112 = 12; 1,344 ÷ 192 = 7 — and 12 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/112 by 12 and of y/192 by 7.
112 = 24 × 7
192 = 26 × 3
| Prime | 112 | 192 | Highest power |
|---|---|---|---|
| 2 | 24 | 26 | 26 |
| 3 | — | 3 | 3 |
| 7 | 7 | — | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 26 × 3 × 7 = 1,344
More with these numbers
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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 |
|---|---|---|
| 112 | 177 | 19,824 |
| 112 | 178 | 9,968 |
| 112 | 179 | 20,048 |
| 112 | 180 | 5,040 |
| 112 | 181 | 20,272 |
| 112 | 182 | 1,456 |
| 112 | 183 | 20,496 |
| 112 | 184 | 2,576 |
| 112 | 185 | 20,720 |
| 112 | 186 | 10,416 |
| 112 | 187 | 20,944 |
| 112 | 188 | 5,264 |
| 112 | 189 | 3,024 |
| 112 | 190 | 10,640 |
| 112 | 191 | 21,392 |
| 112 | 192 | 1,344 |
| 112 | 193 | 21,616 |
| 112 | 194 | 10,864 |
| 112 | 195 | 21,840 |
| 112 | 196 | 784 |
| 112 | 197 | 22,064 |
| 112 | 198 | 11,088 |
| 112 | 199 | 22,288 |
| 112 | 200 | 2,800 |
| 112 | 201 | 22,512 |
| 112 | 202 | 11,312 |
| 112 | 203 | 3,248 |
| 112 | 204 | 5,712 |
| 112 | 205 | 22,960 |
| 112 | 206 | 11,536 |