LCM( 1702, 538989360 ) = 538989360
Step 1 : Write the given numbers in a horizontal line.
1702 | 538989360 |
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 | 1702 | 538989360 |
851 | 269494680 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1702 | 538989360 |
2 | 851 | 269494680 |
2 | 851 | 134747340 |
2 | 851 | 67373670 |
3 | 851 | 33686835 |
5 | 851 | 11228945 |
7 | 851 | 2245789 |
13 | 851 | 320827 |
23 | 851 | 24679 |
29 | 37 | 1073 |
37 | 37 | 37 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1702, 538989360 ) = 2 · 2 · 2 · 2 · 3 · 5 · 7 · 13 · 23 · 29 · 37 = 538989360 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.