LCM( 25, 39, 60 ) = 3900
Step 1 : Place the numbers inside division bar:
25 | 39 | 60 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 5. If any number is not divisible by 5 write it down unchanged.
5 | 25 | 39 | 60 |
5 | 39 | 12 |
Step 3 : Repeat Step 2 until you can no longer divide.
5 | 25 | 39 | 60 |
3 | 5 | 39 | 12 |
5 | 13 | 4 |
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 = 25 · 39 · 60 = 3900
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.