LCM( 1720, 1720 ) = 1720
Step 1 : Write the given numbers in a horizontal line.
1720 | 1720 |
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 | 1720 | 1720 |
860 | 860 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1720 | 1720 |
2 | 860 | 860 |
2 | 430 | 430 |
5 | 215 | 215 |
43 | 43 | 43 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1720, 1720 ) = 2 · 2 · 2 · 5 · 43 = 1720 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.