LCM for 300 and 180
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What's the Least Common Multiple (LCM) of 300 and 180?
Answer
LCM of 300 and 180 is
900
First common multiples: 900; 1,800; 2,700; …
900 is divisible by both: 900 ÷ 300 = 3, 900 ÷ 180 = 5 — and 3 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/300 by 3 and of y/180 by 5.
300 = 22 × 3 × 52
180 = 22 × 32 × 5
| Prime | 300 | 180 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | 3 | 32 | 32 |
| 5 | 52 | 5 | 52 |
LCM = 22 × 32 × 52 = 900
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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 |
|---|---|---|
| 300 | 165 | 3,300 |
| 300 | 166 | 24,900 |
| 300 | 167 | 50,100 |
| 300 | 168 | 4,200 |
| 300 | 169 | 50,700 |
| 300 | 170 | 5,100 |
| 300 | 171 | 17,100 |
| 300 | 172 | 12,900 |
| 300 | 173 | 51,900 |
| 300 | 174 | 8,700 |
| 300 | 175 | 2,100 |
| 300 | 176 | 13,200 |
| 300 | 177 | 17,700 |
| 300 | 178 | 26,700 |
| 300 | 179 | 53,700 |
| 300 | 180 | 900 |
| 300 | 181 | 54,300 |
| 300 | 182 | 27,300 |
| 300 | 183 | 18,300 |
| 300 | 184 | 13,800 |
| 300 | 185 | 11,100 |
| 300 | 186 | 9,300 |
| 300 | 187 | 56,100 |
| 300 | 188 | 14,100 |
| 300 | 189 | 18,900 |
| 300 | 190 | 5,700 |
| 300 | 191 | 57,300 |
| 300 | 192 | 4,800 |
| 300 | 193 | 57,900 |
| 300 | 194 | 29,100 |