LCM( 219, 582, 776 ) = 169944
Step 1 : Write the given numbers in a horizontal line.
219 | 582 | 776 |
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 | 219 | 582 | 776 |
219 | 291 | 388 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 219 | 582 | 776 |
2 | 219 | 291 | 388 |
2 | 219 | 291 | 194 |
3 | 219 | 291 | 97 |
73 | 73 | 97 | 97 |
97 | 1 | 97 | 97 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 219, 582, 776 ) = 2 · 2 · 2 · 3 · 73 · 97 = 169944 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.