LCM( 1718, 714344400 ) = 714344400
Step 1 : Write the given numbers in a horizontal line.
1718 | 714344400 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 2.
(if any number is not divisible by 2, write it down unchanged)
2 | 1718 | 714344400 |
859 | 357172200 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1718 | 714344400 |
2 | 859 | 357172200 |
2 | 859 | 178586100 |
2 | 859 | 89293050 |
3 | 859 | 44646525 |
3 | 859 | 14882175 |
3 | 859 | 4960725 |
5 | 859 | 1653575 |
5 | 859 | 330715 |
7 | 859 | 66143 |
11 | 859 | 9449 |
859 | 859 | 859 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1718, 714344400 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 7 · 11 · 859 = 714344400 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.