LCM( 1723, 23880780 ) = 23880780
Step 1 : Write the given numbers in a horizontal line.
1723 | 23880780 |
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 | 1723 | 23880780 |
1723 | 11940390 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1723 | 23880780 |
2 | 1723 | 11940390 |
3 | 1723 | 5970195 |
3 | 1723 | 1990065 |
5 | 1723 | 663355 |
7 | 1723 | 132671 |
11 | 1723 | 18953 |
1723 | 1723 | 1723 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1723, 23880780 ) = 2 · 2 · 3 · 3 · 5 · 7 · 11 · 1723 = 23880780 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.