LCM( 60, 70, 80 ) = 1680
Step 1 : Place the numbers inside division bar:
60 | 70 | 80 |
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 | 60 | 70 | 80 |
30 | 35 | 40 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 60 | 70 | 80 |
2 | 30 | 35 | 40 |
15 | 35 | 20 |
2 | 60 | 70 | 80 |
2 | 30 | 35 | 40 |
5 | 15 | 35 | 20 |
3 | 7 | 4 |
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 = 60 · 70 · 80 = 1680
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.