LCM( 27, 45 ) = 135
Step 1 : Place the numbers inside division bar:
27 | 45 |
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 | 27 | 45 |
9 | 15 |
Step 3 : Repeat Step 2 until you can no longer divide.
3 | 27 | 45 |
3 | 9 | 15 |
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 = 27 · 45 = 135
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.