LCM( 1757, 2719836 ) = 2719836
Step 1 : Write the given numbers in a horizontal line.
1757 | 2719836 |
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 | 1757 | 2719836 |
1757 | 1359918 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1757 | 2719836 |
2 | 1757 | 1359918 |
3 | 1757 | 679959 |
3 | 1757 | 226653 |
7 | 1757 | 75551 |
43 | 251 | 10793 |
251 | 251 | 251 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1757, 2719836 ) = 2 · 2 · 3 · 3 · 7 · 43 · 251 = 2719836 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.