LCM( 3750, 193117, 950 ) = 13759586250
Step 1 : Place the numbers inside division bar:
3750 | 193117 | 950 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 2. If any number is not divisible by 2 write it down unchanged.
2 | 3750 | 193117 | 950 |
1875 | 193117 | 475 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 3750 | 193117 | 950 |
5 | 1875 | 193117 | 475 |
375 | 193117 | 95 |
2 | 3750 | 193117 | 950 |
5 | 1875 | 193117 | 475 |
5 | 375 | 193117 | 95 |
75 | 193117 | 19 |
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 = 3750 · 193117 · 950 = 13759586250
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.