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Math Tutor Solution: The LCM of 1 and 72 is 72.
Methods
How to Find the LCM of 1 and 72 by Listing Common Multiples
As your math tutor, the first step I would guide you through for this method of finding the Least Common Multiple of 1 and 72 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:
Let’s take a look at the first 10 multiples for each of these numbers, 1 and 72:
First 10 Multiples of 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
First 10 Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720
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 72 are 72, 144, 216. Because 72 is the smallest, it is the least common multiple.
The LCM of 1 and 72 is 72.
Math Tutor Suggests: 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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