Question
Find Least Common Multiple of 941688 and 133980 using division method..
Answer
LCM( 941688, 133980 ) = 32959080
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 941688 | 133980 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 2.
(if any number is not divisible by 2, write it down unchanged)
| 2 | 941688 | 133980 |
| 470844 | 66990 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 941688 | 133980 |
| 2 | 470844 | 66990 |
| 2 | 235422 | 33495 |
| 3 | 117711 | 33495 |
| 3 | 39237 | 11165 |
| 5 | 13079 | 11165 |
| 7 | 13079 | 2233 |
| 11 | 13079 | 319 |
| 29 | 1189 | 29 |
| 41 | 41 | 1 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 941688, 133980 ) = 2 · 2 · 2 · 3 · 3 · 5 · 7 · 11 · 29 · 41 = 32959080 .
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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