LCM( 105, 126, 147 ) = 4410
Step 1 : Place the numbers inside division bar:
105 | 126 | 147 |
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 | 105 | 126 | 147 |
35 | 42 | 49 |
Step 3 : Repeat Step 2 until you can no longer divide.
3 | 105 | 126 | 147 |
7 | 35 | 42 | 49 |
5 | 6 | 7 |
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 = 105 · 126 · 147 = 4410
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.