Question
Find Least Common Multiple of 885 and 4633860 using division method..
Answer
LCM( 885, 4633860 ) = 4633860
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 885 | 4633860 |
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 | 885 | 4633860 |
| 885 | 2316930 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 885 | 4633860 |
| 2 | 885 | 2316930 |
| 3 | 885 | 1158465 |
| 5 | 295 | 386155 |
| 7 | 59 | 77231 |
| 11 | 59 | 11033 |
| 17 | 59 | 1003 |
| 59 | 59 | 59 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 885, 4633860 ) = 2 · 2 · 3 · 5 · 7 · 11 · 17 · 59 = 4633860 .
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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