LCM( 529, 576 ) = 304704
Step 1 : Write the given numbers in a horizontal line.
529 | 576 |
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 | 529 | 576 |
529 | 288 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 529 | 576 |
2 | 529 | 288 |
2 | 529 | 144 |
2 | 529 | 72 |
2 | 529 | 36 |
2 | 529 | 18 |
3 | 529 | 9 |
3 | 529 | 3 |
23 | 529 | 1 |
23 | 23 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 529, 576 ) = 2 · 2 · 2 · 2 · 2 · 2 · 3 · 3 · 23 · 23 = 304704 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.