Q:

What is the LCM of 143 and 108?

Accepted Solution

A:
Solution: The LCM of 143 and 108 is 15444MethodsHow to find the LCM of 143 and 108 using Prime FactorizationOne way to find the LCM of 143 and 108 is to start by comparing the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:What are the Factors of 143?What are the Factors of 108?Here is the prime factorization of 143:111×13111^1 × 13^1111×131And this is the prime factorization of 108:22×332^2 × 3^322×33When you compare the prime factorization of these two numbers, you want to look for the highest power that each prime factor is raised to. In this case, there are these prime factors to consider: 11, 13, 2, 322×33×111×131=154442^2 × 3^3 × 11^1 × 13^1 = 1544422×33×111×131=15444Through this we see that the LCM of 143 and 108 is 15444.How to Find the LCM of 143 and 108 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 143 and 108 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 in the links below for each number. Let’s take a look at the multiples for each of these numbers, 143 and 108:What are the Multiples of 143?What are the Multiples of 108?Let’s take a look at the first 10 multiples for each of these numbers, 143 and 108:First 10 Multiples of 143: 143, 286, 429, 572, 715, 858, 1001, 1144, 1287, 1430First 10 Multiples of 108: 108, 216, 324, 432, 540, 648, 756, 864, 972, 1080You 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 143 and 108 are 15444, 30888, 46332. Because 15444 is the smallest, it is the least common multiple.The LCM of 143 and 108 is 15444.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 63 and 78?What is the LCM of 6 and 49?What is the LCM of 39 and 131?What is the LCM of 126 and 15?What is the LCM of 104 and 115?