LCM( 81, 63, 9 ) = 567
Step 1 : Place the numbers inside division bar:
81 | 63 | 9 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 3. If any number is not divisible by 3 write it down unchanged.
3 | 81 | 63 | 9 |
27 | 21 | 3 |
Step 3 : Repeat Step 2 until you can no longer divide.
3 | 81 | 63 | 9 |
3 | 27 | 21 | 3 |
9 | 7 | 1 |
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 = 81 · 63 · 9 = 567
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.