Question
Find Least Common Multiple of 1703 and 56648592 using division method..
Answer
LCM( 1703, 56648592 ) = 56648592
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 1703 | 56648592 |
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 | 1703 | 56648592 |
| 1703 | 28324296 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 1703 | 56648592 |
| 2 | 1703 | 28324296 |
| 2 | 1703 | 14162148 |
| 2 | 1703 | 7081074 |
| 3 | 1703 | 3540537 |
| 3 | 1703 | 1180179 |
| 3 | 1703 | 393393 |
| 7 | 1703 | 131131 |
| 11 | 1703 | 18733 |
| 13 | 1703 | 1703 |
| 131 | 131 | 131 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1703, 56648592 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7 · 11 · 13 · 131 = 56648592 .
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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