LCM for 270 and 450
What's the Least Common Multiple (LCM) of 270 and 450?
(One thousand, three hundred fifty)
Finding LCM for 270 and 450 using GCF's of these numbers
The first method to find LCM for numbers 270 and 450 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 270 and 450 is 90, so
LCM = (270 × 450) ÷ 90
LCM = 121500 ÷ 90
LCM = 1350
Finding LCM for 270 and 450 by Listing Multiples
The second method to find LCM for numbers 270 and 450 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 270: 270, 540, 810, 1080, 1350, 1620, 1890
Multiples of 450: 450, 900, 1350, 1800, 2250
So the LCM for 270 and 450 is 1350
Finding LCM for 270 and 450 by Prime Factorization
Another method to find LCM for numbers 270 and 450 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)
All Prime Factors of 450: 2, 3, 3, 5, 5 (exponent form: 21, 32, 52)
21 × 33 × 52 = 1350
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/270--450">What is the LCM of 270 and 450? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 255 | 450 | 7650 |
| 256 | 450 | 57600 |
| 257 | 450 | 115650 |
| 258 | 450 | 19350 |
| 259 | 450 | 116550 |
| 260 | 450 | 11700 |
| 261 | 450 | 13050 |
| 262 | 450 | 58950 |
| 263 | 450 | 118350 |
| 264 | 450 | 19800 |
| 265 | 450 | 23850 |
| 266 | 450 | 59850 |
| 267 | 450 | 40050 |
| 268 | 450 | 60300 |
| 269 | 450 | 121050 |
| 270 | 450 | 1350 |
| 271 | 450 | 121950 |
| 272 | 450 | 61200 |
| 273 | 450 | 40950 |
| 274 | 450 | 61650 |
| 275 | 450 | 4950 |
| 276 | 450 | 20700 |
| 277 | 450 | 124650 |
| 278 | 450 | 62550 |
| 279 | 450 | 13950 |
| 280 | 450 | 12600 |
| 281 | 450 | 126450 |
| 282 | 450 | 21150 |
| 283 | 450 | 127350 |
| 284 | 450 | 63900 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers