Q:

What is the LCM of 145 and 79?

Accepted Solution

A:
Solution: The LCM of 145 and 79 is 11455 Methods How to find the LCM of 145 and 79 using Prime Factorization One way to find the LCM of 145 and 79 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 145? What are the Factors of 79? Here is the prime factorization of 145: 5 1 × 2 9 1 5^1 × 29^1 5 1 × 2 9 1 And this is the prime factorization of 79: 7 9 1 79^1 7 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: 5, 29, 79 5 1 × 2 9 1 × 7 9 1 = 11455 5^1 × 29^1 × 79^1 = 11455 5 1 × 2 9 1 × 7 9 1 = 11455 Through this we see that the LCM of 145 and 79 is 11455. How to Find the LCM of 145 and 79 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 145 and 79 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, 145 and 79: What are the Multiples of 145? What are the Multiples of 79? Let’s take a look at the first 10 multiples for each of these numbers, 145 and 79: First 10 Multiples of 145: 145, 290, 435, 580, 725, 870, 1015, 1160, 1305, 1450 First 10 Multiples of 79: 79, 158, 237, 316, 395, 474, 553, 632, 711, 790 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 145 and 79 are 11455, 22910, 34365. Because 11455 is the smallest, it is the least common multiple. The LCM of 145 and 79 is 11455. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 48 and 61? What is the LCM of 77 and 47? What is the LCM of 134 and 39? What is the LCM of 128 and 108? What is the LCM of 136 and 2?