What is the LCM of 148 and 140?

Solution: The LCM of 148 and 140 is 5180

Methods

How to find the LCM of 148 and 140 using Prime Factorization

One way to find the LCM of 148 and 140 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:

Here is the prime factorization of 148:

2^2 × 37^1

And this is the prime factorization of 140:

2^2 × 5^1 × 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: 2, 37, 5, 7

2^2 × 5^1 × 7^1 × 37^1 = 5180

Through this we see that the LCM of 148 and 140 is 5180.

How to Find the LCM of 148 and 140 by Listing Common Multiples

The first step to this method of finding the Least Common Multiple of 148 and 140 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, 148 and 140:

What are the Multiples of 148?

What are the Multiples of 140?

Let’s take a look at the first 10 multiples for each of these numbers, 148 and 140:

First 10 Multiples of 148: 148, 296, 444, 592, 740, 888, 1036, 1184, 1332, 1480

First 10 Multiples of 140: 140, 280, 420, 560, 700, 840, 980, 1120, 1260, 1400

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 148 and 140 are 5180, 10360, 15540. Because 5180 is the smallest, it is the least common multiple.

The LCM of 148 and 140 is 5180.

Find the LCM of Other Number Pairs

Want more practice? Try some of these other LCM problems:

Download FREE Math Resources

Take advantage of our free downloadable resources and study materials for at-home learning.

8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem. This helps our students learn to think flexibly and non-linearly.

Get PDF

How to Make Sure Your Child is Highly Successful and Becomes a Millionaire

As a parent, you hope your child is extremely successful and likely become the next Gates, Zuckerberg, or Meg Whitman. To set your child on the right path, there are many skills and traits that you can start building and nurturing now. Doing so plants the seeds for future success.