Question
Find Least Common Multiple of 1711 and 607952520 using division method..
Answer
LCM( 1711, 607952520 ) = 607952520
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 1711 | 607952520 |
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 | 1711 | 607952520 |
| 1711 | 303976260 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 1711 | 607952520 |
| 2 | 1711 | 303976260 |
| 2 | 1711 | 151988130 |
| 3 | 1711 | 75994065 |
| 3 | 1711 | 25331355 |
| 3 | 1711 | 8443785 |
| 5 | 1711 | 2814595 |
| 7 | 1711 | 562919 |
| 29 | 1711 | 80417 |
| 47 | 59 | 2773 |
| 59 | 59 | 59 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1711, 607952520 ) = 2 · 2 · 2 · 3 · 3 · 3 · 5 · 7 · 29 · 47 · 59 = 607952520 .
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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