LCM( 252, 308, 198 ) = 2772
Step 1 : Place the numbers inside division bar:
252 | 308 | 198 |
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 | 252 | 308 | 198 |
126 | 154 | 99 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 252 | 308 | 198 |
2 | 126 | 154 | 99 |
63 | 77 | 99 |
2 | 252 | 308 | 198 |
2 | 126 | 154 | 99 |
3 | 63 | 77 | 99 |
21 | 77 | 33 |
2 | 252 | 308 | 198 |
2 | 126 | 154 | 99 |
3 | 63 | 77 | 99 |
3 | 21 | 77 | 33 |
7 | 77 | 11 |
2 | 252 | 308 | 198 |
2 | 126 | 154 | 99 |
3 | 63 | 77 | 99 |
3 | 21 | 77 | 33 |
7 | 7 | 77 | 11 |
1 | 11 | 11 |
2 | 252 | 308 | 198 |
2 | 126 | 154 | 99 |
3 | 63 | 77 | 99 |
3 | 21 | 77 | 33 |
7 | 7 | 77 | 11 |
11 | 1 | 11 | 11 |
1 | 1 | 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 = 252 · 308 · 198 = 2772
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.