LCM( 738360, 1758 ) = 738360
Step 1 : Write the given numbers in a horizontal line.
738360 | 1758 |
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 | 738360 | 1758 |
369180 | 879 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 738360 | 1758 |
2 | 369180 | 879 |
2 | 184590 | 879 |
3 | 92295 | 879 |
3 | 30765 | 293 |
5 | 10255 | 293 |
7 | 2051 | 293 |
293 | 293 | 293 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 738360, 1758 ) = 2 · 2 · 2 · 3 · 3 · 5 · 7 · 293 = 738360 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.