Find Least Common Multiple of 12, 14 and 17 using ladder method..

LCM( 12, 14, 17 ) = 1428

Step 1 : Place the numbers inside division bar:

Step 2 : Find a prime number which can divide at least two of your numbers.

In this example we can divide by 2. If any number is not divisible by 2 write it down unchanged.

Step 4 : LCM is a product of numbers into L shape.

LCM = 2 · 6 · 7 · 17 = 1428

This solution can be visualized using a Venn diagram.

The LCM is equal to the product of all the numbers on the diagram.