Question
Find Least Common Multiple of 2923 and 3239 using division method..
Answer
LCM( 2923, 3239 ) = 119843
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 2923 | 3239 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 37.
(if any number is not divisible by 37, write it down unchanged)
| 37 | 2923 | 3239 |
| 79 | 3239 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 37 | 2923 | 3239 |
| 41 | 79 | 3239 |
| 79 | 79 | 79 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 2923, 3239 ) = 37 · 41 · 79 = 119843 .
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