Question
Find Least Common Multiple of 12355 and 1765 using division method..
Answer
LCM( 12355, 1765 ) = 12355
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 12355 | 1765 |
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 | 12355 | 1765 |
| 2471 | 353 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 5 | 12355 | 1765 |
| 7 | 2471 | 353 |
| 353 | 353 | 353 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 12355, 1765 ) = 5 · 7 · 353 = 12355 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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