LCM( 20, 45, 75 ) = 900
Step 1 : Place the numbers inside division bar:
20 | 45 | 75 |
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 | 20 | 45 | 75 |
4 | 9 | 15 |
Step 3 : Repeat Step 2 until you can no longer divide.
5 | 20 | 45 | 75 |
3 | 4 | 9 | 15 |
4 | 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 = 20 · 45 · 75 = 900
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.