LCM( 1712, 10831824 ) = 10831824
Step 1 : Write the given numbers in a horizontal line.
1712 | 10831824 |
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 | 1712 | 10831824 |
856 | 5415912 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1712 | 10831824 |
2 | 856 | 5415912 |
2 | 428 | 2707956 |
2 | 214 | 1353978 |
3 | 107 | 676989 |
3 | 107 | 225663 |
19 | 107 | 75221 |
37 | 107 | 3959 |
107 | 107 | 107 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1712, 10831824 ) = 2 · 2 · 2 · 2 · 3 · 3 · 19 · 37 · 107 = 10831824 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.