LCM( 1884960, 1760 ) = 1884960
Step 1 : Write the given numbers in a horizontal line.
1884960 | 1760 |
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 | 1884960 | 1760 |
942480 | 880 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1884960 | 1760 |
2 | 942480 | 880 |
2 | 471240 | 440 |
2 | 235620 | 220 |
2 | 117810 | 110 |
3 | 58905 | 55 |
3 | 19635 | 55 |
5 | 6545 | 55 |
7 | 1309 | 11 |
11 | 187 | 11 |
17 | 17 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1884960, 1760 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 11 · 17 = 1884960 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.