LCM( 1746, 21336120 ) = 21336120
Step 1 : Write the given numbers in a horizontal line.
1746 | 21336120 |
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 | 1746 | 21336120 |
873 | 10668060 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1746 | 21336120 |
2 | 873 | 10668060 |
2 | 873 | 5334030 |
3 | 873 | 2667015 |
3 | 291 | 889005 |
5 | 97 | 296335 |
13 | 97 | 59267 |
47 | 97 | 4559 |
97 | 97 | 97 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1746, 21336120 ) = 2 · 2 · 2 · 3 · 3 · 5 · 13 · 47 · 97 = 21336120 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.