LCM( 11, 21, 33 ) = 231
Step 1 : Place the numbers inside division bar:
11 | 21 | 33 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 11. If any number is not divisible by 11 write it down unchanged.
11 | 11 | 21 | 33 |
1 | 21 | 3 |
Step 3 : Repeat Step 2 until you can no longer divide.
11 | 11 | 21 | 33 |
3 | 1 | 21 | 3 |
1 | 7 | 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 = 11 · 21 · 33 = 231
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.