Question
Find Least Common Multiple of 1751 and 4412520 using division method..
Answer
LCM( 1751, 4412520 ) = 4412520
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 1751 | 4412520 |
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 | 1751 | 4412520 |
| 1751 | 2206260 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 1751 | 4412520 |
| 2 | 1751 | 2206260 |
| 2 | 1751 | 1103130 |
| 3 | 1751 | 551565 |
| 3 | 1751 | 183855 |
| 5 | 1751 | 61285 |
| 7 | 1751 | 12257 |
| 17 | 1751 | 1751 |
| 103 | 103 | 103 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1751, 4412520 ) = 2 · 2 · 2 · 3 · 3 · 5 · 7 · 17 · 103 = 4412520 .
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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