LCM( 35, 67, 89 ) = 208705
Step 1 : Write the given numbers in a horizontal line.
35 | 67 | 89 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 5.
(if any number is not divisible by 5, write it down unchanged)
5 | 35 | 67 | 89 |
7 | 67 | 89 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
5 | 35 | 67 | 89 |
7 | 7 | 67 | 89 |
67 | 1 | 67 | 89 |
89 | 1 | 1 | 89 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 35, 67, 89 ) = 5 · 7 · 67 · 89 = 208705 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.