Step 1 : Place the numbers inside division bar:
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 | 315000 | 315000 |
| 157500 | 157500 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 315000 | 315000 |
2 | 157500 | 157500 |
| 78750 | 78750 |
2 | 315000 | 315000 |
2 | 157500 | 157500 |
2 | 78750 | 78750 |
| 39375 | 39375 |
2 | 315000 | 315000 |
2 | 157500 | 157500 |
2 | 78750 | 78750 |
3 | 39375 | 39375 |
| 13125 | 13125 |
2 | 315000 | 315000 |
2 | 157500 | 157500 |
2 | 78750 | 78750 |
3 | 39375 | 39375 |
3 | 13125 | 13125 |
| 4375 | 4375 |
2 | 315000 | 315000 |
2 | 157500 | 157500 |
2 | 78750 | 78750 |
3 | 39375 | 39375 |
3 | 13125 | 13125 |
5 | 4375 | 4375 |
| 875 | 875 |
2 | 315000 | 315000 |
2 | 157500 | 157500 |
2 | 78750 | 78750 |
3 | 39375 | 39375 |
3 | 13125 | 13125 |
5 | 4375 | 4375 |
5 | 875 | 875 |
| 175 | 175 |
2 | 315000 | 315000 |
2 | 157500 | 157500 |
2 | 78750 | 78750 |
3 | 39375 | 39375 |
3 | 13125 | 13125 |
5 | 4375 | 4375 |
5 | 875 | 875 |
5 | 175 | 175 |
| 35 | 35 |
2 | 315000 | 315000 |
2 | 157500 | 157500 |
2 | 78750 | 78750 |
3 | 39375 | 39375 |
3 | 13125 | 13125 |
5 | 4375 | 4375 |
5 | 875 | 875 |
5 | 175 | 175 |
5 | 35 | 35 |
| 7 | 7 |
2 | 315000 | 315000 |
2 | 157500 | 157500 |
2 | 78750 | 78750 |
3 | 39375 | 39375 |
3 | 13125 | 13125 |
5 | 4375 | 4375 |
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 = 315000 · 315000 = 315000
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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LCM Calculator