LCM( 693, 1078 ) = 9702
Step 1 : Write the given numbers in a horizontal line.
693 | 1078 |
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 | 693 | 1078 |
693 | 539 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 693 | 1078 |
3 | 693 | 539 |
3 | 231 | 539 |
7 | 77 | 539 |
7 | 11 | 77 |
11 | 11 | 11 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 693, 1078 ) = 2 · 3 · 3 · 7 · 7 · 11 = 9702 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.