Question
Find Least Common Multiple of 1763 and 163641660 using division method..
Answer
LCM( 1763, 163641660 ) = 163641660
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 1763 | 163641660 |
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 | 1763 | 163641660 |
| 1763 | 81820830 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 1763 | 163641660 |
| 2 | 1763 | 81820830 |
| 3 | 1763 | 40910415 |
| 5 | 1763 | 13636805 |
| 7 | 1763 | 2727361 |
| 13 | 1763 | 389623 |
| 17 | 1763 | 29971 |
| 41 | 1763 | 1763 |
| 43 | 43 | 43 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1763, 163641660 ) = 2 · 2 · 3 · 5 · 7 · 13 · 17 · 41 · 43 = 163641660 .
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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