LCM( 555, 375, 825 ) = 152625
Step 1 : Place the numbers inside division bar:
555 | 375 | 825 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 3. If any number is not divisible by 3 write it down unchanged.
3 | 555 | 375 | 825 |
185 | 125 | 275 |
Step 3 : Repeat Step 2 until you can no longer divide.
3 | 555 | 375 | 825 |
5 | 185 | 125 | 275 |
37 | 25 | 55 |
3 | 555 | 375 | 825 |
5 | 185 | 125 | 275 |
5 | 37 | 25 | 55 |
37 | 5 | 11 |
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 = 555 · 375 · 825 = 152625
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.