LCM( 1763, 31628220 ) = 31628220
Step 1 : Write the given numbers in a horizontal line.
1763 | 31628220 |
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 | 1763 | 31628220 |
1763 | 15814110 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1763 | 31628220 |
2 | 1763 | 15814110 |
3 | 1763 | 7907055 |
5 | 1763 | 2635685 |
13 | 1763 | 527137 |
23 | 1763 | 40549 |
41 | 1763 | 1763 |
43 | 43 | 43 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1763, 31628220 ) = 2 · 2 · 3 · 5 · 13 · 23 · 41 · 43 = 31628220 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.