LCM( 6, 12, 55 ) = 660
Step 1 : Place the numbers inside division bar:
6 | 12 | 55 |
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 | 6 | 12 | 55 |
3 | 6 | 55 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 6 | 12 | 55 |
3 | 3 | 6 | 55 |
1 | 2 | 55 |
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 = 6 · 12 · 55 = 660
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.