The first step to this method of finding the Least Common Multiple of 1 and 144 is to begin to list a few multiples for each number. If you need a refresher on how to find the multiples of these numbers, you can see the walkthroughs for those here:
What are the Multiples of 144?
Let’s take a look at the first 10 multiples for each of these numbers, 1 and 144:
First 10 Multiples of 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
First 10 Multiples of 144: 144, 288, 432, 576, 720, 864, 1008, 1152, 1296, 1440
You can continue to list out the multiples of these numbers as long as needed to find a match. Once you do find a match, or several matches, the smallest of these matches would be the Least Common Multiple. For instance, the first matching multiple(s) of 1 and 144 are 144, 288, 432. Because 144 is the smallest, it is the least common multiple.
The LCM of 1 and 144 is 144.