Q:

What is the LCM of 141 and 58?

Accepted Solution

A:
Solution: The LCM of 141 and 58 is 8178 Methods How to find the LCM of 141 and 58 using Prime Factorization One way to find the LCM of 141 and 58 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 141? What are the Factors of 58? Here is the prime factorization of 141: 3 1 × 4 7 1 3^1 × 47^1 3 1 × 4 7 1 And this is the prime factorization of 58: 2 1 × 2 9 1 2^1 × 29^1 2 1 × 2 9 1 When 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: 3, 47, 2, 29 2 1 × 3 1 × 2 9 1 × 4 7 1 = 8178 2^1 × 3^1 × 29^1 × 47^1 = 8178 2 1 × 3 1 × 2 9 1 × 4 7 1 = 8178 Through this we see that the LCM of 141 and 58 is 8178. How to Find the LCM of 141 and 58 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 141 and 58 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, 141 and 58: What are the Multiples of 141? What are the Multiples of 58? Let’s take a look at the first 10 multiples for each of these numbers, 141 and 58: First 10 Multiples of 141: 141, 282, 423, 564, 705, 846, 987, 1128, 1269, 1410 First 10 Multiples of 58: 58, 116, 174, 232, 290, 348, 406, 464, 522, 580 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 141 and 58 are 8178, 16356, 24534. Because 8178 is the smallest, it is the least common multiple. The LCM of 141 and 58 is 8178. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 55 and 47? What is the LCM of 5 and 95? What is the LCM of 62 and 71? What is the LCM of 13 and 91? What is the LCM of 99 and 126?