LCM( 1745, 270879840 ) = 270879840
Step 1 : Write the given numbers in a horizontal line.
1745 | 270879840 |
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 | 1745 | 270879840 |
1745 | 135439920 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1745 | 270879840 |
2 | 1745 | 135439920 |
2 | 1745 | 67719960 |
2 | 1745 | 33859980 |
2 | 1745 | 16929990 |
3 | 1745 | 8464995 |
3 | 1745 | 2821665 |
5 | 1745 | 940555 |
7 | 349 | 188111 |
7 | 349 | 26873 |
11 | 349 | 3839 |
349 | 349 | 349 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1745, 270879840 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 7 · 11 · 349 = 270879840 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.