LCM for 180 and 450
What's the Least Common Multiple (LCM) of 180 and 450?
(Nine hundred)
Finding LCM for 180 and 450 using GCF's of these numbers
The first method to find LCM for numbers 180 and 450 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 180 and 450 is 90, so
LCM = (180 × 450) ÷ 90
LCM = 81000 ÷ 90
LCM = 900
Finding LCM for 180 and 450 by Listing Multiples
The second method to find LCM for numbers 180 and 450 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260
Multiples of 450: 450, 900, 1350, 1800
So the LCM for 180 and 450 is 900
Finding LCM for 180 and 450 by Prime Factorization
Another method to find LCM for numbers 180 and 450 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)
All Prime Factors of 450: 2, 3, 3, 5, 5 (exponent form: 21, 32, 52)
22 × 32 × 52 = 900
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/180--450">What is the LCM of 180 and 450? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 165 | 450 | 4950 |
| 166 | 450 | 37350 |
| 167 | 450 | 75150 |
| 168 | 450 | 12600 |
| 169 | 450 | 76050 |
| 170 | 450 | 7650 |
| 171 | 450 | 8550 |
| 172 | 450 | 38700 |
| 173 | 450 | 77850 |
| 174 | 450 | 13050 |
| 175 | 450 | 3150 |
| 176 | 450 | 39600 |
| 177 | 450 | 26550 |
| 178 | 450 | 40050 |
| 179 | 450 | 80550 |
| 180 | 450 | 900 |
| 181 | 450 | 81450 |
| 182 | 450 | 40950 |
| 183 | 450 | 27450 |
| 184 | 450 | 41400 |
| 185 | 450 | 16650 |
| 186 | 450 | 13950 |
| 187 | 450 | 84150 |
| 188 | 450 | 42300 |
| 189 | 450 | 9450 |
| 190 | 450 | 8550 |
| 191 | 450 | 85950 |
| 192 | 450 | 14400 |
| 193 | 450 | 86850 |
| 194 | 450 | 43650 |
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