Given Numbers are 342, 349

We can find the LCM of 342, 349 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 342 and 349

Multiples of 342 =342,684,1026,1368,1710,2052,2394,2736,3078,3420,3762,4104,4446,4788,5130,5472,5814,

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 342, 349 which is 119358

So, the LCM of 342, 349 is 119358.

One method for determining the LCM of 342 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 342's prime factorization:

Prime factors of 342 are 2, 3,19.

342 = 2¹×3²×19¹

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, 3,19,349

2¹×3²×19¹×349¹ = 119358

This shows that the LCM of 342 and 349 is 119358.

The first step in determining the Least Common Multiple of 342 and 349 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 342 and 349:

Lets look at the first ten multiples of these numbers, 342 and 349:

342,684,1026,1368,1710,2052,2394,2736,3078,5814 are the first ten multiples of 342.

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 342 and 349, for example, are 4104, 5814, and 5584. 119358 is the least common multiple since it is the smallest.

342 and 349 have an LCM of 119358.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 342 and 349, than apply into the LCM equation.

GCF(342,349) = 1
LCM(342,349) = ( 342 × 349) / 1
LCM(342,349) = 119358 / 1
LCM(342,349) = 119358

1. What is the LCM of 342 and 349?

The LCM of 342 and 349 is 119358.

2. How to find the lowest common multiple of 342 and 349?

To find the lowest common multiple of 342 and 349, we have to get the multip;es of both numbers and identify the least common multiple in them which is 119358.

3. What are the Factors of 342?

Answer: Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. There are 12 integers that are factors of 342. The greatest factor of 342 is 342.

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 342 and 349 = 119358

Step 1: Find the prime factorization of 342

342 = 2 x 3 x 3 x 19

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 = 119358 = 2 x 3 x 3 x 19 x 349

Step 4: Therefore, the least common multiple of 342 and 349 is 119358.