LCM( 1759, 5777259600 ) = 5777259600
Step 1 : Write the given numbers in a horizontal line.
1759 | 5777259600 |
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 | 1759 | 5777259600 |
1759 | 2888629800 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1759 | 5777259600 |
2 | 1759 | 2888629800 |
2 | 1759 | 1444314900 |
2 | 1759 | 722157450 |
3 | 1759 | 361078725 |
5 | 1759 | 120359575 |
5 | 1759 | 24071915 |
7 | 1759 | 4814383 |
17 | 1759 | 687769 |
23 | 1759 | 40457 |
1759 | 1759 | 1759 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1759, 5777259600 ) = 2 · 2 · 2 · 2 · 3 · 5 · 5 · 7 · 17 · 23 · 1759 = 5777259600 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.