LCM( 1753, 4295635344 ) = 4295635344
Step 1 : Write the given numbers in a horizontal line.
1753 | 4295635344 |
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 | 1753 | 4295635344 |
1753 | 2147817672 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1753 | 4295635344 |
2 | 1753 | 2147817672 |
2 | 1753 | 1073908836 |
2 | 1753 | 536954418 |
3 | 1753 | 268477209 |
3 | 1753 | 89492403 |
7 | 1753 | 29830801 |
11 | 1753 | 4261543 |
13 | 1753 | 387413 |
17 | 1753 | 29801 |
1753 | 1753 | 1753 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1753, 4295635344 ) = 2 · 2 · 2 · 2 · 3 · 3 · 7 · 11 · 13 · 17 · 1753 = 4295635344 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.