LCM( 26, 35, 40 ) = 3640
Step 1 : Place the numbers inside division bar:
26 | 35 | 40 |
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 | 26 | 35 | 40 |
13 | 35 | 20 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 26 | 35 | 40 |
5 | 13 | 35 | 20 |
13 | 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 = 26 · 35 · 40 = 3640
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.