Q:

What is the LCM of 141 and 147?

Accepted Solution

A:
Solution: The LCM of 141 and 147 is 6909 Methods How to find the LCM of 141 and 147 using Prime Factorization One way to find the LCM of 141 and 147 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 147? 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 147: 3 1 × 7 2 3^1 × 7^2 3 1 × 7 2 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, 7 3 1 × 7 2 × 4 7 1 = 6909 3^1 × 7^2 × 47^1 = 6909 3 1 × 7 2 × 4 7 1 = 6909 Through this we see that the LCM of 141 and 147 is 6909. How to Find the LCM of 141 and 147 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 141 and 147 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 147: What are the Multiples of 141? What are the Multiples of 147? Let’s take a look at the first 10 multiples for each of these numbers, 141 and 147: First 10 Multiples of 141: 141, 282, 423, 564, 705, 846, 987, 1128, 1269, 1410 First 10 Multiples of 147: 147, 294, 441, 588, 735, 882, 1029, 1176, 1323, 1470 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 147 are 6909, 13818, 20727. Because 6909 is the smallest, it is the least common multiple. The LCM of 141 and 147 is 6909. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 28 and 92? What is the LCM of 104 and 8? What is the LCM of 78 and 125? What is the LCM of 19 and 146? What is the LCM of 109 and 117?