LCM( 1717, 47595240 ) = 47595240
Step 1 : Write the given numbers in a horizontal line.
1717 | 47595240 |
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 | 1717 | 47595240 |
1717 | 23797620 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1717 | 47595240 |
2 | 1717 | 23797620 |
2 | 1717 | 11898810 |
3 | 1717 | 5949405 |
3 | 1717 | 1983135 |
5 | 1717 | 661045 |
7 | 1717 | 132209 |
11 | 1717 | 18887 |
17 | 1717 | 1717 |
101 | 101 | 101 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1717, 47595240 ) = 2 · 2 · 2 · 3 · 3 · 5 · 7 · 11 · 17 · 101 = 47595240 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.