Given Numbers are 344, 349

We can find the LCM of 344, 349 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 344 and 349

Multiples of 344 =344,688,1032,1376,1720,2064,2408,2752,3096,3440,3784,4128,4472,4816,5160,5504,5848,

Multiples of 349 =349,698,1047,1396,1745,2094,2443,2792,3141,3490,3839,4188,4537,4886,5235,5584,5933,

Now, get the least common multiple of 344, 349 which is 120056

So, the LCM of 344, 349 is 120056.

One method for determining the LCM of 344 and 349 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 344's prime factorization:

Prime factors of 344 are 2,43.

344 = 2³×43¹

And this is 349's prime factorization:

Prime factors of 349 are 349.

349 = 349¹

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: 2,43,349

2³×43¹×349¹ = 120056

This shows that the LCM of 344 and 349 is 120056.

The first step in determining the Least Common Multiple of 344 and 349 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 344 and 349:

Lets look at the first ten multiples of these numbers, 344 and 349:

344,688,1032,1376,1720,2064,2408,2752,3096,5848 are the first ten multiples of 344.

349,698,1047,1396,1745,2094,2443,2792,3141,5933 are the first ten multiples of 349.

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 344 and 349, for example, are 4128, 5848, and 5584. 120056 is the least common multiple since it is the smallest.

344 and 349 have an LCM of 120056.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 344 and 349, than apply into the LCM equation.

GCF(344,349) = 1
LCM(344,349) = ( 344 × 349) / 1
LCM(344,349) = 120056 / 1
LCM(344,349) = 120056

1. What is the LCM of 344 and 349?

The LCM of 344 and 349 is 120056.

2. How to find the lowest common multiple of 344 and 349?

To find the lowest common multiple of 344 and 349, we have to get the multip;es of both numbers and identify the least common multiple in them which is 120056.

3. What are the Factors of 344?

Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.

4. What are the Factors of 349?

Answer: Factors of 349 are 1, 349. There are 2 integers that are factors of 349. The greatest factor of 349 is 349.

Answer:

Least Common Multiple of 344 and 349 = 120056

Step 1: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

Step 2: Find the prime factorization of 349

349 = 349

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

LCM = 120056 = 2 x 2 x 2 x 43 x 349

Step 4: Therefore, the least common multiple of 344 and 349 is 120056.