Q:

What is the LCM of 134 and 80?

Accepted Solution

A:
Solution: The LCM of 134 and 80 is 5360 Methods How to find the LCM of 134 and 80 using Prime Factorization One way to find the LCM of 134 and 80 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 134? What are the Factors of 80? Here is the prime factorization of 134: 2 1 × 6 7 1 2^1 × 67^1 2 1 × 6 7 1 And this is the prime factorization of 80: 2 4 × 5 1 2^4 × 5^1 2 4 × 5 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: 2, 67, 5 2 4 × 5 1 × 6 7 1 = 5360 2^4 × 5^1 × 67^1 = 5360 2 4 × 5 1 × 6 7 1 = 5360 Through this we see that the LCM of 134 and 80 is 5360. How to Find the LCM of 134 and 80 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 134 and 80 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, 134 and 80: What are the Multiples of 134? What are the Multiples of 80? Let’s take a look at the first 10 multiples for each of these numbers, 134 and 80: First 10 Multiples of 134: 134, 268, 402, 536, 670, 804, 938, 1072, 1206, 1340 First 10 Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800 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 134 and 80 are 5360, 10720, 16080. Because 5360 is the smallest, it is the least common multiple. The LCM of 134 and 80 is 5360. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 20 and 120? What is the LCM of 96 and 11? What is the LCM of 18 and 113? What is the LCM of 90 and 101? What is the LCM of 98 and 56?