LCM( 5650, 2350 ) = 265550
Step 1 : Write the given numbers in a horizontal line.
5650 | 2350 |
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 | 5650 | 2350 |
2825 | 1175 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 5650 | 2350 |
5 | 2825 | 1175 |
5 | 565 | 235 |
47 | 113 | 47 |
113 | 113 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 5650, 2350 ) = 2 · 5 · 5 · 47 · 113 = 265550 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.