Q:

What is the LCM of 149 and 17?

Accepted Solution

A:
Solution: The LCM of 149 and 17 is 2533 Methods How to find the LCM of 149 and 17 using Prime Factorization One way to find the LCM of 149 and 17 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 149? What are the Factors of 17? Here is the prime factorization of 149: 14 9 1 149^1 14 9 1 And this is the prime factorization of 17: 1 7 1 17^1 1 7 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: 149, 17 1 7 1 Γ— 14 9 1 = 2533 17^1 Γ— 149^1 = 2533 1 7 1 Γ— 14 9 1 = 2533 Through this we see that the LCM of 149 and 17 is 2533. How to Find the LCM of 149 and 17 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 149 and 17 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, 149 and 17: What are the Multiples of 149? What are the Multiples of 17? Let’s take a look at the first 10 multiples for each of these numbers, 149 and 17: First 10 Multiples of 149: 149, 298, 447, 596, 745, 894, 1043, 1192, 1341, 1490 First 10 Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170 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 149 and 17 are 2533, 5066, 7599. Because 2533 is the smallest, it is the least common multiple. The LCM of 149 and 17 is 2533. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 109 and 18? What is the LCM of 1 and 99? What is the LCM of 121 and 81? What is the LCM of 37 and 77? What is the LCM of 34 and 150?