LCM( 9782, 3846 ) = 18810786
Step 1 : Write the given numbers in a horizontal line.
9782 | 3846 |
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 | 9782 | 3846 |
4891 | 1923 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 9782 | 3846 |
3 | 4891 | 1923 |
67 | 4891 | 641 |
73 | 73 | 641 |
641 | 1 | 641 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 9782, 3846 ) = 2 · 3 · 67 · 73 · 641 = 18810786 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.