The first step to this method of finding the Least Common Multiple of 1 and 105 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 105?
Let’s take a look at the first 10 multiples for each of these numbers, 1 and 105:
First 10 Multiples of 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
First 10 Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050
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 105 are 105, 210, 315. Because 105 is the smallest, it is the least common multiple.
The LCM of 1 and 105 is 105.
