LCM( 1760, 480480 ) = 480480
Step 1 : Write the given numbers in a horizontal line.
1760 | 480480 |
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 | 1760 | 480480 |
880 | 240240 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1760 | 480480 |
2 | 880 | 240240 |
2 | 440 | 120120 |
2 | 220 | 60060 |
2 | 110 | 30030 |
3 | 55 | 15015 |
5 | 55 | 5005 |
7 | 11 | 1001 |
11 | 11 | 143 |
13 | 1 | 13 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1760, 480480 ) = 2 · 2 · 2 · 2 · 2 · 3 · 5 · 7 · 11 · 13 = 480480 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.