Find Least Common Multiple of 289 and 3 using division method..
Answer
LCM( 289, 3 ) = 867
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 289 | 3 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 3.
(if any number is not divisible by 3, write it down unchanged)
| 3 | 289 | 3 |
| 289 | 1 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 3 | 289 | 3 |
| 17 | 289 | 1 |
| 17 | 17 | 1 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 289, 3 ) = 3 · 17 · 17 = 867 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator