LCM( 40, 45, 26 ) = 4680
Step 1 : Place the numbers inside division bar:
40 | 45 | 26 |
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 | 40 | 45 | 26 |
20 | 45 | 13 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 40 | 45 | 26 |
5 | 20 | 45 | 13 |
4 | 9 | 13 |
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 = 40 · 45 · 26 = 4680
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.