LCM( 25, 75, 125 ) = 375
Step 1 : Place the numbers inside division bar:
25 | 75 | 125 |
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 | 75 | 125 |
5 | 15 | 25 |
Step 3 : Repeat Step 2 until you can no longer divide.
5 | 25 | 75 | 125 |
5 | 5 | 15 | 25 |
1 | 3 | 5 |
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 · 75 · 125 = 375
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.