LCM( 810, 400 ) = 32400
Step 1 : Place the numbers inside division bar:
810 | 400 |
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 | 810 | 400 |
405 | 200 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 810 | 400 |
5 | 405 | 200 |
81 | 40 |
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 = 810 · 400 = 32400
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.