LCM for 240 and 360
What's the Least Common Multiple (LCM) of 240 and 360?
(Seven hundred twenty)
Finding LCM for 240 and 360 using GCF's of these numbers
The first method to find LCM for numbers 240 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 240 and 360 is 120, so
LCM = (240 × 360) ÷ 120
LCM = 86400 ÷ 120
LCM = 720
Finding LCM for 240 and 360 by Listing Multiples
The second method to find LCM for numbers 240 and 360 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 240: 240, 480, 720, 960, 1200
Multiples of 360: 360, 720, 1080, 1440
So the LCM for 240 and 360 is 720
Finding LCM for 240 and 360 by Prime Factorization
Another method to find LCM for numbers 240 and 360 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 240: 2, 2, 2, 2, 3, 5 (exponent form: 24, 31, 51)
All Prime Factors of 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)
24 × 32 × 51 = 720
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/240--360">What is the LCM of 240 and 360? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 225 | 360 | 1800 |
| 226 | 360 | 40680 |
| 227 | 360 | 81720 |
| 228 | 360 | 6840 |
| 229 | 360 | 82440 |
| 230 | 360 | 8280 |
| 231 | 360 | 27720 |
| 232 | 360 | 10440 |
| 233 | 360 | 83880 |
| 234 | 360 | 4680 |
| 235 | 360 | 16920 |
| 236 | 360 | 21240 |
| 237 | 360 | 28440 |
| 238 | 360 | 42840 |
| 239 | 360 | 86040 |
| 240 | 360 | 720 |
| 241 | 360 | 86760 |
| 242 | 360 | 43560 |
| 243 | 360 | 9720 |
| 244 | 360 | 21960 |
| 245 | 360 | 17640 |
| 246 | 360 | 14760 |
| 247 | 360 | 88920 |
| 248 | 360 | 11160 |
| 249 | 360 | 29880 |
| 250 | 360 | 9000 |
| 251 | 360 | 90360 |
| 252 | 360 | 2520 |
| 253 | 360 | 91080 |
| 254 | 360 | 45720 |
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