LCM( 27, 120, 32 ) = 4320
Step 1 : Place the numbers inside division bar:
27 | 120 | 32 |
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 | 27 | 120 | 32 |
9 | 40 | 32 |
Step 3 : Repeat Step 2 until you can no longer divide.
3 | 27 | 120 | 32 |
2 | 9 | 40 | 32 |
9 | 20 | 16 |
3 | 27 | 120 | 32 |
2 | 9 | 40 | 32 |
2 | 9 | 20 | 16 |
9 | 10 | 8 |
3 | 27 | 120 | 32 |
2 | 9 | 40 | 32 |
2 | 9 | 20 | 16 |
2 | 9 | 10 | 8 |
9 | 5 | 4 |
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 · 120 · 32 = 4320
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.