LCM( 1739, 892733040 ) = 892733040
Step 1 : Write the given numbers in a horizontal line.
1739 | 892733040 |
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 | 1739 | 892733040 |
1739 | 446366520 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1739 | 892733040 |
2 | 1739 | 446366520 |
2 | 1739 | 223183260 |
2 | 1739 | 111591630 |
3 | 1739 | 55795815 |
3 | 1739 | 18598605 |
5 | 1739 | 6199535 |
23 | 1739 | 1239907 |
31 | 1739 | 53909 |
37 | 1739 | 1739 |
47 | 47 | 47 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1739, 892733040 ) = 2 · 2 · 2 · 2 · 3 · 3 · 5 · 23 · 31 · 37 · 47 = 892733040 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.