Question
Find Least Common Multiple of 6858 and 4979 using division method..
Answer
LCM( 6858, 4979 ) = 34145982
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 6858 | 4979 |
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 | 6858 | 4979 |
| 3429 | 4979 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 6858 | 4979 |
| 3 | 3429 | 4979 |
| 3 | 1143 | 4979 |
| 3 | 381 | 4979 |
| 13 | 127 | 4979 |
| 127 | 127 | 383 |
| 383 | 1 | 383 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 6858, 4979 ) = 2 · 3 · 3 · 3 · 13 · 127 · 383 = 34145982 .
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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