Question
Find Least Common Multiple of 121 and 1331 using division method..
Answer
LCM( 121, 1331 ) = 1331
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 121 | 1331 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 11.
(if any number is not divisible by 11, write it down unchanged)
| 11 | 121 | 1331 |
| 11 | 121 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 11 | 121 | 1331 |
| 11 | 11 | 121 |
| 11 | 1 | 11 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 121, 1331 ) = 11 · 11 · 11 = 1331 .
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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