LCM( 30, 50, 70 ) = 1050
Step 1 : Place the numbers inside division bar:
30 | 50 | 70 |
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 | 50 | 70 |
15 | 25 | 35 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 30 | 50 | 70 |
5 | 15 | 25 | 35 |
3 | 5 | 7 |
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 · 50 · 70 = 1050
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.