LCM( 1764, 388080 ) = 388080
Step 1 : Write the given numbers in a horizontal line.
1764 | 388080 |
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 | 1764 | 388080 |
882 | 194040 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1764 | 388080 |
2 | 882 | 194040 |
2 | 441 | 97020 |
2 | 441 | 48510 |
3 | 441 | 24255 |
3 | 147 | 8085 |
5 | 49 | 2695 |
7 | 49 | 539 |
7 | 7 | 77 |
11 | 1 | 11 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1764, 388080 ) = 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 7 · 11 = 388080 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.