Given Numbers are 349, 357

We can find the LCM of 349, 357 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 349 and 357

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

Multiples of 357 =357,714,1071,1428,1785,2142,2499,2856,3213,3570,3927,4284,4641,4998,5355,5712,6069,

Now, get the least common multiple of 349, 357 which is 124593

So, the LCM of 349, 357 is 124593.

One method for determining the LCM of 349 and 357 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 349's prime factorization:

Prime factors of 349 are 349.

349 = 349¹

And this is 357's prime factorization:

Prime factors of 357 are 3, 7,17.

357 = 3¹×7¹×17¹

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:349, 3, 7,17

3¹×7¹×17¹×349¹ = 124593

This shows that the LCM of 349 and 357 is 124593.

The first step in determining the Least Common Multiple of 349 and 357 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 349 and 357:

Lets look at the first ten multiples of these numbers, 349 and 357:

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

357,714,1071,1428,1785,2142,2499,2856,3213,6069 are the first ten multiples of 357.

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 349 and 357, for example, are 4188, 5933, and 5712. 124593 is the least common multiple since it is the smallest.

349 and 357 have an LCM of 124593.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 349 and 357, than apply into the LCM equation.

GCF(349,357) = 1
LCM(349,357) = ( 349 × 357) / 1
LCM(349,357) = 124593 / 1
LCM(349,357) = 124593

1. What is the LCM of 349 and 357?

The LCM of 349 and 357 is 124593.

2. How to find the lowest common multiple of 349 and 357?

To find the lowest common multiple of 349 and 357, we have to get the multip;es of both numbers and identify the least common multiple in them which is 124593.

3. 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.

4. What are the Factors of 357?

Answer: Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. There are 8 integers that are factors of 357. The greatest factor of 357 is 357.

Answer:

Least Common Multiple of 349 and 357 = 124593

Step 1: Find the prime factorization of 349

349 = 349

Step 2: Find the prime factorization of 357

357 = 3 x 7 x 17

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

LCM = 124593 = 3 x 7 x 17 x 349

Step 4: Therefore, the least common multiple of 349 and 357 is 124593.