LCM( 941688, 133980 ) = 32959080
Step 1 : Write the given numbers in a horizontal line.
941688 | 133980 |
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 | 941688 | 133980 |
470844 | 66990 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 941688 | 133980 |
2 | 470844 | 66990 |
2 | 235422 | 33495 |
3 | 117711 | 33495 |
3 | 39237 | 11165 |
5 | 13079 | 11165 |
7 | 13079 | 2233 |
11 | 13079 | 319 |
29 | 1189 | 29 |
41 | 41 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 941688, 133980 ) = 2 · 2 · 2 · 3 · 3 · 5 · 7 · 11 · 29 · 41 = 32959080 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.