Question
Find Least Common Multiple of 325535 and 23 using division method..
Answer
LCM( 325535, 23 ) = 7487305
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 325535 | 23 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 5.
(if any number is not divisible by 5, write it down unchanged)
| 5 | 325535 | 23 |
| 65107 | 23 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 5 | 325535 | 23 |
| 7 | 65107 | 23 |
| 23 | 9301 | 23 |
| 71 | 9301 | 1 |
| 131 | 131 | 1 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 325535, 23 ) = 5 · 7 · 23 · 71 · 131 = 7487305 .
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