Question
Find Least Common Multiple of 1766 and 16369054 using division method..
Answer
LCM( 1766, 16369054 ) = 16369054
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 1766 | 16369054 |
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 | 1766 | 16369054 |
| 883 | 8184527 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 1766 | 16369054 |
| 13 | 883 | 8184527 |
| 23 | 883 | 629579 |
| 31 | 883 | 27373 |
| 883 | 883 | 883 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 16369054 ) = 2 · 13 · 23 · 31 · 883 = 16369054 .
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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