LCM( 10, 100 ) = 100
Step 1 : Place the numbers inside division bar:
10 | 100 |
Step 2 : Find a prime number which divides both numbers.
In this example we can divide by 2. If any number is not divisible by 2 write it down unchanged.
2 | 10 | 100 |
5 | 50 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 10 | 100 |
5 | 5 | 50 |
1 | 10 |
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 = 10 · 100 = 100
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.