LCM( 220, 264, 252 ) = 27720
Step 1 : Place the numbers inside division bar:
220 | 264 | 252 |
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 | 220 | 264 | 252 |
110 | 132 | 126 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 220 | 264 | 252 |
2 | 110 | 132 | 126 |
55 | 66 | 63 |
2 | 220 | 264 | 252 |
2 | 110 | 132 | 126 |
11 | 55 | 66 | 63 |
5 | 6 | 63 |
2 | 220 | 264 | 252 |
2 | 110 | 132 | 126 |
11 | 55 | 66 | 63 |
3 | 5 | 6 | 63 |
5 | 2 | 21 |
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 = 220 · 264 · 252 = 27720
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.