Given Numbers are 343, 349

We can find the LCM of 343, 349 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 343 and 349

Multiples of 343 =343,686,1029,1372,1715,2058,2401,2744,3087,3430,3773,4116,4459,4802,5145,5488,5831,

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 343, 349 which is 119707

So, the LCM of 343, 349 is 119707.

One method for determining the LCM of 343 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 343's prime factorization:

Prime factors of 343 are 7.

343 = 7³

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:7,349

7³×349¹ = 119707

This shows that the LCM of 343 and 349 is 119707.

The first step in determining the Least Common Multiple of 343 and 349 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 343 and 349:

Lets look at the first ten multiples of these numbers, 343 and 349:

343,686,1029,1372,1715,2058,2401,2744,3087,5831 are the first ten multiples of 343.

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 343 and 349, for example, are 4116, 5831, and 5584. 119707 is the least common multiple since it is the smallest.

343 and 349 have an LCM of 119707.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 343 and 349, than apply into the LCM equation.

GCF(343,349) = 1
LCM(343,349) = ( 343 × 349) / 1
LCM(343,349) = 119707 / 1
LCM(343,349) = 119707

1. What is the LCM of 343 and 349?

The LCM of 343 and 349 is 119707.

2. How to find the lowest common multiple of 343 and 349?

To find the lowest common multiple of 343 and 349, we have to get the multip;es of both numbers and identify the least common multiple in them which is 119707.

3. What are the Factors of 343?

Answer: Factors of 343 are 1, 7, 49, 343. There are 4 integers that are factors of 343. The greatest factor of 343 is 343.

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 343 and 349 = 119707

Step 1: Find the prime factorization of 343

343 = 7 x 7 x 7

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 = 119707 = 7 x 7 x 7 x 349

Step 4: Therefore, the least common multiple of 343 and 349 is 119707.