LCM( 2158, 1173, 2649 ) = 2235167922
Step 1 : Write the given numbers in a horizontal line.
2158 | 1173 | 2649 |
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 | 2158 | 1173 | 2649 |
1079 | 1173 | 2649 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 2158 | 1173 | 2649 |
3 | 1079 | 1173 | 2649 |
13 | 1079 | 391 | 883 |
17 | 83 | 391 | 883 |
23 | 83 | 23 | 883 |
83 | 83 | 1 | 883 |
883 | 1 | 1 | 883 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 2158, 1173, 2649 ) = 2 · 3 · 13 · 17 · 23 · 83 · 883 = 2235167922 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.