Question
Find Least Common Multiple of 2719836 and 1757 using division method..
Answer
LCM( 2719836, 1757 ) = 2719836
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 2719836 | 1757 |
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 | 2719836 | 1757 |
| 1359918 | 1757 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 2719836 | 1757 |
| 2 | 1359918 | 1757 |
| 3 | 679959 | 1757 |
| 3 | 226653 | 1757 |
| 7 | 75551 | 1757 |
| 43 | 10793 | 251 |
| 251 | 251 | 251 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 2719836, 1757 ) = 2 · 2 · 3 · 3 · 7 · 43 · 251 = 2719836 .
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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