LCM( 504, 1260, 60 ) = 2520
Step 1 : Place the numbers inside division bar:
504 | 1260 | 60 |
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 | 504 | 1260 | 60 |
252 | 630 | 30 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 504 | 1260 | 60 |
2 | 252 | 630 | 30 |
126 | 315 | 15 |
2 | 504 | 1260 | 60 |
2 | 252 | 630 | 30 |
3 | 126 | 315 | 15 |
42 | 105 | 5 |
2 | 504 | 1260 | 60 |
2 | 252 | 630 | 30 |
3 | 126 | 315 | 15 |
3 | 42 | 105 | 5 |
14 | 35 | 5 |
2 | 504 | 1260 | 60 |
2 | 252 | 630 | 30 |
3 | 126 | 315 | 15 |
3 | 42 | 105 | 5 |
7 | 14 | 35 | 5 |
2 | 5 | 5 |
2 | 504 | 1260 | 60 |
2 | 252 | 630 | 30 |
3 | 126 | 315 | 15 |
3 | 42 | 105 | 5 |
7 | 14 | 35 | 5 |
5 | 2 | 5 | 5 |
2 | 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 · 1260 · 60 = 2520
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.