Find Least Common Multiple of 105, 119 and 289 using ladder method..

LCM( 105, 119, 289 ) = 30345

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 7. If any number is not divisible by 7 write it down unchanged.

Step 3 : Repeat Step 2 until you can no longer divide.

Since there are no primes that divides at least two of given numbers, we conclude that the LCM is a product of starting numbers.

LCM = 105 · 119 · 289 = 30345

This solution can be visualized using a Venn diagram.

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