LCM( 1762, 13838748 ) = 13838748
Step 1 : Write the given numbers in a horizontal line.
1762 | 13838748 |
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 | 1762 | 13838748 |
881 | 6919374 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1762 | 13838748 |
2 | 881 | 6919374 |
3 | 881 | 3459687 |
7 | 881 | 1153229 |
11 | 881 | 164747 |
17 | 881 | 14977 |
881 | 881 | 881 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1762, 13838748 ) = 2 · 2 · 3 · 7 · 11 · 17 · 881 = 13838748 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.