LCM( 504, 504 ) = 504
Step 1 : Place the numbers inside division bar:
504 | 504 |
Step 2 : Find a prime number which divides both numbers.
In this example we can divide by 2. If any number is not divisible by 2 write it down unchanged.
2 | 504 | 504 |
252 | 252 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 504 | 504 |
2 | 252 | 252 |
126 | 126 |
2 | 504 | 504 |
2 | 252 | 252 |
2 | 126 | 126 |
63 | 63 |
2 | 504 | 504 |
2 | 252 | 252 |
2 | 126 | 126 |
3 | 63 | 63 |
21 | 21 |
2 | 504 | 504 |
2 | 252 | 252 |
2 | 126 | 126 |
3 | 63 | 63 |
3 | 21 | 21 |
7 | 7 |
2 | 504 | 504 |
2 | 252 | 252 |
2 | 126 | 126 |
3 | 63 | 63 |
3 | 21 | 21 |
7 | 7 | 7 |
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 = 504 · 504 = 504
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.