LCM( 525, 1050 ) = 1050
Step 1 : Place the numbers inside division bar:
525 | 1050 |
Step 2 : Find a prime number which divides both numbers.
In this example we can divide by 3. If any number is not divisible by 3 write it down unchanged.
3 | 525 | 1050 |
175 | 350 |
Step 3 : Repeat Step 2 until you can no longer divide.
3 | 525 | 1050 |
5 | 175 | 350 |
35 | 70 |
3 | 525 | 1050 |
5 | 175 | 350 |
5 | 35 | 70 |
7 | 14 |
3 | 525 | 1050 |
5 | 175 | 350 |
5 | 35 | 70 |
7 | 7 | 14 |
1 | 2 |
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 = 525 · 1050 = 1050
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.