Question
Find Least Common Multiple of 845 and 899 using division method..
Answer
LCM( 845, 899 ) = 759655
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 845 | 899 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 5.
(if any number is not divisible by 5, write it down unchanged)
| 5 | 845 | 899 |
| 169 | 899 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 5 | 845 | 899 |
| 13 | 169 | 899 |
| 13 | 13 | 899 |
| 29 | 1 | 899 |
| 31 | 1 | 31 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 845, 899 ) = 5 · 13 · 13 · 29 · 31 = 759655 .
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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