Solution: The LCM of 75 and 1 is 75
Methods
How to Find the LCM of 75 and 1 by Listing Common Multiples
The first step to this method of finding the Least Common Multiple of 75 and 1 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 75?
What are the Multiples of 1?
Let’s take a look at the first 10 multiples for each of these numbers, 75 and 1:
First 10 Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750
First 10 Multiples of 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
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 75 and 1 are 75, 150, 225. Because 75 is the smallest, it is the least common multiple.
The LCM of 75 and 1 is 75.
Continue Practicing by Finding the LCM of Other Numbers
Take a look at some of our other walkthroughs, and you’ll be sure to be an expert at finding the LCM of any numbers in no time!
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What is the LCM of 69 and 124?
What is the LCM of 92 and 98?
What is the LCM of 48 and 97?