Question
Find Least Common Multiple of 343395 and 1761 using division method..
Answer
LCM( 343395, 1761 ) = 343395
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 343395 | 1761 |
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 | 343395 | 1761 |
| 114465 | 587 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 3 | 343395 | 1761 |
| 3 | 114465 | 587 |
| 5 | 38155 | 587 |
| 13 | 7631 | 587 |
| 587 | 587 | 587 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 343395, 1761 ) = 3 · 3 · 5 · 13 · 587 = 343395 .
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