LCM( 185378, 98 ) = 9083522
Step 1 : Write the given numbers in a horizontal line.
185378 | 98 |
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 | 185378 | 98 |
92689 | 49 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 185378 | 98 |
7 | 92689 | 49 |
7 | 92689 | 7 |
59 | 92689 | 1 |
1571 | 1571 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 185378, 98 ) = 2 · 7 · 7 · 59 · 1571 = 9083522 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.