LCM( 8848, 6486 ) = 28694064
Step 1 : Write the given numbers in a horizontal line.
8848 | 6486 |
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 | 8848 | 6486 |
4424 | 3243 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 8848 | 6486 |
2 | 4424 | 3243 |
2 | 2212 | 3243 |
2 | 1106 | 3243 |
3 | 553 | 3243 |
7 | 553 | 1081 |
23 | 79 | 1081 |
47 | 79 | 47 |
79 | 79 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 8848, 6486 ) = 2 · 2 · 2 · 2 · 3 · 7 · 23 · 47 · 79 = 28694064 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.