LCM( 7894, 9278 ) = 36620266
Step 1 : Write the given numbers in a horizontal line.
7894 | 9278 |
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 | 7894 | 9278 |
3947 | 4639 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 7894 | 9278 |
3947 | 3947 | 4639 |
4639 | 1 | 4639 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 7894, 9278 ) = 2 · 3947 · 4639 = 36620266 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.