LCM( 2880, 1400 ) = 100800
Step 1 : Place the numbers inside division bar:
2880 | 1400 |
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 | 2880 | 1400 |
1440 | 700 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 2880 | 1400 |
2 | 1440 | 700 |
720 | 350 |
2 | 2880 | 1400 |
2 | 1440 | 700 |
2 | 720 | 350 |
360 | 175 |
2 | 2880 | 1400 |
2 | 1440 | 700 |
2 | 720 | 350 |
5 | 360 | 175 |
72 | 35 |
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 = 2880 · 1400 = 100800
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.