LCM( 1560, 1560 ) = 1560
Step 1 : Write the given numbers in a horizontal line.
1560 | 1560 |
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 | 1560 | 1560 |
780 | 780 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1560 | 1560 |
2 | 780 | 780 |
2 | 390 | 390 |
3 | 195 | 195 |
5 | 65 | 65 |
13 | 13 | 13 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1560, 1560 ) = 2 · 2 · 2 · 3 · 5 · 13 = 1560 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.