LCM( 386666280, 1740 ) = 386666280
Step 1 : Write the given numbers in a horizontal line.
386666280 | 1740 |
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 | 386666280 | 1740 |
193333140 | 870 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 386666280 | 1740 |
2 | 193333140 | 870 |
2 | 96666570 | 435 |
3 | 48333285 | 435 |
3 | 16111095 | 145 |
5 | 5370365 | 145 |
7 | 1074073 | 29 |
11 | 153439 | 29 |
13 | 13949 | 29 |
29 | 1073 | 29 |
37 | 37 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 386666280, 1740 ) = 2 · 2 · 2 · 3 · 3 · 5 · 7 · 11 · 13 · 29 · 37 = 386666280 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.