LCM( 42, 63, 105 ) = 630
Step 1 : Place the numbers inside division bar:
42 | 63 | 105 |
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 | 42 | 63 | 105 |
14 | 21 | 35 |
Step 3 : Repeat Step 2 until you can no longer divide.
3 | 42 | 63 | 105 |
7 | 14 | 21 | 35 |
2 | 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 = 42 · 63 · 105 = 630
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.