LCM( 1708, 2809694160 ) = 2809694160
Step 1 : Write the given numbers in a horizontal line.
1708 | 2809694160 |
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 | 1708 | 2809694160 |
854 | 1404847080 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1708 | 2809694160 |
2 | 854 | 1404847080 |
2 | 427 | 702423540 |
2 | 427 | 351211770 |
3 | 427 | 175605885 |
3 | 427 | 58535295 |
5 | 427 | 19511765 |
7 | 427 | 3902353 |
13 | 61 | 557479 |
19 | 61 | 42883 |
37 | 61 | 2257 |
61 | 61 | 61 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1708, 2809694160 ) = 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 13 · 19 · 37 · 61 = 2809694160 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.