LCM( 1759, 5319216 ) = 5319216
Step 1 : Write the given numbers in a horizontal line.
1759 | 5319216 |
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 | 5319216 |
1759 | 2659608 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1759 | 5319216 |
2 | 1759 | 2659608 |
2 | 1759 | 1329804 |
2 | 1759 | 664902 |
3 | 1759 | 332451 |
3 | 1759 | 110817 |
3 | 1759 | 36939 |
7 | 1759 | 12313 |
1759 | 1759 | 1759 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1759, 5319216 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7 · 1759 = 5319216 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.