LCM( 6976, 7695 ) = 53680320
Step 1 : Write the given numbers in a horizontal line.
6976 | 7695 |
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 | 6976 | 7695 |
3488 | 7695 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 6976 | 7695 |
2 | 3488 | 7695 |
2 | 1744 | 7695 |
2 | 872 | 7695 |
2 | 436 | 7695 |
2 | 218 | 7695 |
3 | 109 | 7695 |
3 | 109 | 2565 |
3 | 109 | 855 |
3 | 109 | 285 |
5 | 109 | 95 |
19 | 109 | 19 |
109 | 109 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 6976, 7695 ) = 2 · 2 · 2 · 2 · 2 · 2 · 3 · 3 · 3 · 3 · 5 · 19 · 109 = 53680320 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.