LCM( 3392, 9872 ) = 2092864
Step 1 : Write the given numbers in a horizontal line.
3392 | 9872 |
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 | 3392 | 9872 |
1696 | 4936 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 3392 | 9872 |
2 | 1696 | 4936 |
2 | 848 | 2468 |
2 | 424 | 1234 |
2 | 212 | 617 |
2 | 106 | 617 |
53 | 53 | 617 |
617 | 1 | 617 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 3392, 9872 ) = 2 · 2 · 2 · 2 · 2 · 2 · 53 · 617 = 2092864 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.