LCM( 66, 104, 156 ) = 3432
Step 1 : Place the numbers inside division bar:
66 | 104 | 156 |
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 | 104 | 156 |
33 | 52 | 78 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 66 | 104 | 156 |
2 | 33 | 52 | 78 |
33 | 26 | 39 |
2 | 66 | 104 | 156 |
2 | 33 | 52 | 78 |
3 | 33 | 26 | 39 |
11 | 26 | 13 |
2 | 66 | 104 | 156 |
2 | 33 | 52 | 78 |
3 | 33 | 26 | 39 |
13 | 11 | 26 | 13 |
11 | 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 · 104 · 156 = 3432
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.