LCM for 150 and 225
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What's the Least Common Multiple (LCM) of 150 and 225?
Answer
LCM of 150 and 225 is
450
First common multiples: 450; 900; 1,350; …
450 is divisible by both: 450 ÷ 150 = 3, 450 ÷ 225 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/150 by 3 and of y/225 by 2.
150 = 2 × 3 × 52
225 = 32 × 52
| Prime | 150 | 225 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 3 | 32 | 32 |
| 5 | 52 | 52 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 32 × 52 = 450
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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 |
|---|---|---|
| 150 | 210 | 1,050 |
| 150 | 211 | 31,650 |
| 150 | 212 | 15,900 |
| 150 | 213 | 10,650 |
| 150 | 214 | 16,050 |
| 150 | 215 | 6,450 |
| 150 | 216 | 5,400 |
| 150 | 217 | 32,550 |
| 150 | 218 | 16,350 |
| 150 | 219 | 10,950 |
| 150 | 220 | 3,300 |
| 150 | 221 | 33,150 |
| 150 | 222 | 5,550 |
| 150 | 223 | 33,450 |
| 150 | 224 | 16,800 |
| 150 | 225 | 450 |
| 150 | 226 | 16,950 |
| 150 | 227 | 34,050 |
| 150 | 228 | 5,700 |
| 150 | 229 | 34,350 |
| 150 | 230 | 3,450 |
| 150 | 231 | 11,550 |
| 150 | 232 | 17,400 |
| 150 | 233 | 34,950 |
| 150 | 234 | 5,850 |
| 150 | 235 | 7,050 |
| 150 | 236 | 17,700 |
| 150 | 237 | 11,850 |
| 150 | 238 | 17,850 |
| 150 | 239 | 35,850 |