LCM( 30, 80, 100 ) = 1200
Step 1 : Place the numbers inside division bar:
30 | 80 | 100 |
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 | 30 | 80 | 100 |
15 | 40 | 50 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 30 | 80 | 100 |
2 | 15 | 40 | 50 |
15 | 20 | 25 |
2 | 30 | 80 | 100 |
2 | 15 | 40 | 50 |
5 | 15 | 20 | 25 |
3 | 4 | 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 = 30 · 80 · 100 = 1200
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.