Given Numbers are 348, 353

We can find the LCM of 348, 353 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 348 and 353

Multiples of 348 =348,696,1044,1392,1740,2088,2436,2784,3132,3480,3828,4176,4524,4872,5220,5568,5916,

Multiples of 353 =353,706,1059,1412,1765,2118,2471,2824,3177,3530,3883,4236,4589,4942,5295,5648,6001,

Now, get the least common multiple of 348, 353 which is 122844

So, the LCM of 348, 353 is 122844.

One method for determining the LCM of 348 and 353 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 348's prime factorization:

Prime factors of 348 are 2, 3,29.

348 = 2²×3¹×29¹

And this is 353's prime factorization:

Prime factors of 353 are 353.

353 = 353¹

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, 3,29,353

2²×3¹×29¹×353¹ = 122844

This shows that the LCM of 348 and 353 is 122844.

The first step in determining the Least Common Multiple of 348 and 353 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 348 and 353:

Lets look at the first ten multiples of these numbers, 348 and 353:

348,696,1044,1392,1740,2088,2436,2784,3132,5916 are the first ten multiples of 348.

353,706,1059,1412,1765,2118,2471,2824,3177,6001 are the first ten multiples of 353.

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 348 and 353, for example, are 4176, 5916, and 5648. 122844 is the least common multiple since it is the smallest.

348 and 353 have an LCM of 122844.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 348 and 353, than apply into the LCM equation.

GCF(348,353) = 1
LCM(348,353) = ( 348 × 353) / 1
LCM(348,353) = 122844 / 1
LCM(348,353) = 122844

1. What is the LCM of 348 and 353?

The LCM of 348 and 353 is 122844.

2. How to find the lowest common multiple of 348 and 353?

To find the lowest common multiple of 348 and 353, we have to get the multip;es of both numbers and identify the least common multiple in them which is 122844.

3. What are the Factors of 348?

Answer: Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. There are 12 integers that are factors of 348. The greatest factor of 348 is 348.

4. What are the Factors of 353?

Answer: Factors of 353 are 1, 353. There are 2 integers that are factors of 353. The greatest factor of 353 is 353.

Answer:

Least Common Multiple of 348 and 353 = 122844

Step 1: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 353

353 = 353

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

LCM = 122844 = 2 x 2 x 3 x 29 x 353

Step 4: Therefore, the least common multiple of 348 and 353 is 122844.