LCM( 66, 44, 22 ) = 132
Step 1 : Place the numbers inside division bar:
66 | 44 | 22 |
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 | 66 | 44 | 22 |
33 | 22 | 11 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 66 | 44 | 22 |
11 | 33 | 22 | 11 |
3 | 2 | 1 |
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 = 66 · 44 · 22 = 132
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.