Q:

What is the LCM of 50 and 118?

Accepted Solution

A:
Solution: The LCM of 50 and 118 is 2950MethodsHow to find the LCM of 50 and 118 using Prime FactorizationOne way to find the LCM of 50 and 118 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 50?What are the Factors of 118?Here is the prime factorization of 50:21×522^1 × 5^221×52And this is the prime factorization of 118:21×5912^1 × 59^121×591When 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, 5, 5921×52×591=29502^1 × 5^2 × 59^1 = 295021×52×591=2950Through this we see that the LCM of 50 and 118 is 2950.How to Find the LCM of 50 and 118 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 50 and 118 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, 50 and 118:What are the Multiples of 50?What are the Multiples of 118?Let’s take a look at the first 10 multiples for each of these numbers, 50 and 118:First 10 Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500First 10 Multiples of 118: 118, 236, 354, 472, 590, 708, 826, 944, 1062, 1180You 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 50 and 118 are 2950, 5900, 8850. Because 2950 is the smallest, it is the least common multiple.The LCM of 50 and 118 is 2950.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 57 and 21?What is the LCM of 13 and 14?What is the LCM of 115 and 17?What is the LCM of 118 and 113?What is the LCM of 143 and 112?