LCM( 875, 875 ) = 875
Step 1 : Place the numbers inside division bar:
875 | 875 |
Step 2 : Find a prime number which divides both numbers.
In this example we can divide by 5. If any number is not divisible by 5 write it down unchanged.
5 | 875 | 875 |
175 | 175 |
Step 3 : Repeat Step 2 until you can no longer divide.
5 | 875 | 875 |
5 | 175 | 175 |
35 | 35 |
5 | 875 | 875 |
5 | 175 | 175 |
5 | 35 | 35 |
7 | 7 |
5 | 875 | 875 |
5 | 175 | 175 |
5 | 35 | 35 |
7 | 7 | 7 |
1 | 1 |
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 = 875 · 875 = 875
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.