LCM( 15, 35, 14 ) = 210
Step 1 : Place the numbers inside division bar:
15 | 35 | 14 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 5. If any number is not divisible by 5 write it down unchanged.
5 | 15 | 35 | 14 |
3 | 7 | 14 |
Step 3 : Repeat Step 2 until you can no longer divide.
5 | 15 | 35 | 14 |
7 | 3 | 7 | 14 |
3 | 1 | 2 |
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 = 15 · 35 · 14 = 210
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.