LCM( 216, 314, 520 ) = 2204280
Step 1 : Place the numbers inside division bar:
| 216 | 314 | 520 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 2. If any number is not divisible by 2 write it down unchanged.
| 2 | 216 | 314 | 520 |
| 108 | 157 | 260 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 2 | 216 | 314 | 520 |
| 2 | 108 | 157 | 260 |
| 54 | 157 | 130 |
| 2 | 216 | 314 | 520 |
| 2 | 108 | 157 | 260 |
| 2 | 54 | 157 | 130 |
| 27 | 157 | 65 |
Since there are no primes that divides at least two of given numbers, we conclude that the LCM is a product of starting numbers.
LCM = 216 · 314 · 520 = 2204280
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.