LCM( 1722, 46339020 ) = 46339020
Step 1 : Write the given numbers in a horizontal line.
1722 | 46339020 |
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 | 1722 | 46339020 |
861 | 23169510 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1722 | 46339020 |
2 | 861 | 23169510 |
3 | 861 | 11584755 |
3 | 287 | 3861585 |
3 | 287 | 1287195 |
5 | 287 | 429065 |
7 | 287 | 85813 |
13 | 41 | 12259 |
23 | 41 | 943 |
41 | 41 | 41 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1722, 46339020 ) = 2 · 2 · 3 · 3 · 3 · 5 · 7 · 13 · 23 · 41 = 46339020 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.