Given Numbers are 142, 148

We can find the LCM of 142, 148 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 142 and 148

Multiples of 142 =142,284,426,568,710,852,994,1136,1278,1420,1562,1704,1846,1988,2130,2272,2414,

Multiples of 148 =148,296,444,592,740,888,1036,1184,1332,1480,1628,1776,1924,2072,2220,2368,2516,

Now, get the least common multiple of 142, 148 which is 10508

So, the LCM of 142, 148 is 10508.

One method for determining the LCM of 142 and 148 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 142's prime factorization:

Prime factors of 142 are 2,71.

142 = 2¹×71¹

And this is 148's prime factorization:

Prime factors of 148 are 2,37.

148 = 2²×37¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,71,37

2²×37¹×71¹ = 10508

This shows that the LCM of 142 and 148 is 10508.

The first step in determining the Least Common Multiple of 142 and 148 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 142 and 148:

Lets look at the first ten multiples of these numbers, 142 and 148:

142,284,426,568,710,852,994,1136,1278,2414 are the first ten multiples of 142.

148,296,444,592,740,888,1036,1184,1332,2516 are the first ten multiples of 148.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 142 and 148, for example, are 1704, 2414, and 2368. 10508 is the least common multiple since it is the smallest.

142 and 148 have an LCM of 10508.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 142 and 148, than apply into the LCM equation.

GCF(142,148) = 2
LCM(142,148) = ( 142 × 148) / 2
LCM(142,148) = 21016 / 2
LCM(142,148) = 10508

1. What is the LCM of 142 and 148?

The LCM of 142 and 148 is 10508.

2. How to find the lowest common multiple of 142 and 148?

To find the lowest common multiple of 142 and 148, we have to get the multip;es of both numbers and identify the least common multiple in them which is 10508.

3. What are the Factors of 142?

Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.

4. What are the Factors of 148?

Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.

Answer:

Least Common Multiple of 142 and 148 = 10508

Step 1: Find the prime factorization of 142

142 = 2 x 71

Step 2: Find the prime factorization of 148

148 = 2 x 2 x 37

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 10508 = 2 x 2 x 37 x 71

Step 4: Therefore, the least common multiple of 142 and 148 is 10508.