LCM for 270 and 180
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What's the Least Common Multiple (LCM) of 270 and 180?
Answer
LCM of 270 and 180 is
540
First common multiples: 540; 1,080; 1,620; …
540 is divisible by both: 540 ÷ 270 = 2, 540 ÷ 180 = 3 — and 2 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/270 by 2 and of y/180 by 3.
270 = 2 × 33 × 5
180 = 22 × 32 × 5
| Prime | 270 | 180 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 3 | 33 | 32 | 33 |
| 5 | 5 | 5 | 5 |
LCM = 22 × 33 × 5 = 540
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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 |
|---|---|---|
| 270 | 165 | 2,970 |
| 270 | 166 | 22,410 |
| 270 | 167 | 45,090 |
| 270 | 168 | 7,560 |
| 270 | 169 | 45,630 |
| 270 | 170 | 4,590 |
| 270 | 171 | 5,130 |
| 270 | 172 | 23,220 |
| 270 | 173 | 46,710 |
| 270 | 174 | 7,830 |
| 270 | 175 | 9,450 |
| 270 | 176 | 23,760 |
| 270 | 177 | 15,930 |
| 270 | 178 | 24,030 |
| 270 | 179 | 48,330 |
| 270 | 180 | 540 |
| 270 | 181 | 48,870 |
| 270 | 182 | 24,570 |
| 270 | 183 | 16,470 |
| 270 | 184 | 24,840 |
| 270 | 185 | 9,990 |
| 270 | 186 | 8,370 |
| 270 | 187 | 50,490 |
| 270 | 188 | 25,380 |
| 270 | 189 | 1,890 |
| 270 | 190 | 5,130 |
| 270 | 191 | 51,570 |
| 270 | 192 | 8,640 |
| 270 | 193 | 52,110 |
| 270 | 194 | 26,190 |