LCM( 135, 225 ) = 675
Step 1 : Place the numbers inside division bar:
135 | 225 |
Step 2 : Find a prime number which divides both numbers.
In this example we can divide by 3. If any number is not divisible by 3 write it down unchanged.
3 | 135 | 225 |
45 | 75 |
Step 3 : Repeat Step 2 until you can no longer divide.
3 | 135 | 225 |
3 | 45 | 75 |
15 | 25 |
3 | 135 | 225 |
3 | 45 | 75 |
5 | 15 | 25 |
3 | 5 |
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 = 135 · 225 = 675
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.