LCM( 2520, 2520 ) = 2520
Step 1 : Place the numbers inside division bar:
2520 | 2520 |
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 | 2520 | 2520 |
1260 | 1260 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 2520 | 2520 |
2 | 1260 | 1260 |
630 | 630 |
2 | 2520 | 2520 |
2 | 1260 | 1260 |
2 | 630 | 630 |
315 | 315 |
2 | 2520 | 2520 |
2 | 1260 | 1260 |
2 | 630 | 630 |
3 | 315 | 315 |
105 | 105 |
2 | 2520 | 2520 |
2 | 1260 | 1260 |
2 | 630 | 630 |
3 | 315 | 315 |
3 | 105 | 105 |
35 | 35 |
2 | 2520 | 2520 |
2 | 1260 | 1260 |
2 | 630 | 630 |
3 | 315 | 315 |
3 | 105 | 105 |
5 | 35 | 35 |
7 | 7 |
2 | 2520 | 2520 |
2 | 1260 | 1260 |
2 | 630 | 630 |
3 | 315 | 315 |
3 | 105 | 105 |
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 = 2520 · 2520 = 2520
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.