LCM( 380, 790 ) = 30020
Step 1 : Write the given numbers in a horizontal line.
380 | 790 |
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 | 380 | 790 |
190 | 395 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 380 | 790 |
2 | 190 | 395 |
5 | 95 | 395 |
19 | 19 | 79 |
79 | 1 | 79 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 380, 790 ) = 2 · 2 · 5 · 19 · 79 = 30020 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.