Given Numbers are 349, 355

We can find the LCM of 349, 355 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 349 and 355

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

Multiples of 355 =355,710,1065,1420,1775,2130,2485,2840,3195,3550,3905,4260,4615,4970,5325,5680,6035,

Now, get the least common multiple of 349, 355 which is 123895

So, the LCM of 349, 355 is 123895.

One method for determining the LCM of 349 and 355 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 355's prime factorization:

Prime factors of 355 are 5,71.

355 = 5¹×71¹

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, 5,71

5¹×71¹×349¹ = 123895

This shows that the LCM of 349 and 355 is 123895.

The first step in determining the Least Common Multiple of 349 and 355 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 349 and 355:

Lets look at the first ten multiples of these numbers, 349 and 355:

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

355,710,1065,1420,1775,2130,2485,2840,3195,6035 are the first ten multiples of 355.

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 355, for example, are 4188, 5933, and 5680. 123895 is the least common multiple since it is the smallest.

349 and 355 have an LCM of 123895.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 349 and 355, than apply into the LCM equation.

GCF(349,355) = 1
LCM(349,355) = ( 349 × 355) / 1
LCM(349,355) = 123895 / 1
LCM(349,355) = 123895

1. What is the LCM of 349 and 355?

The LCM of 349 and 355 is 123895.

2. How to find the lowest common multiple of 349 and 355?

To find the lowest common multiple of 349 and 355, we have to get the multip;es of both numbers and identify the least common multiple in them which is 123895.

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 355?

Answer: Factors of 355 are 1, 5, 71, 355. There are 4 integers that are factors of 355. The greatest factor of 355 is 355.

Answer:

Least Common Multiple of 349 and 355 = 123895

Step 1: Find the prime factorization of 349

349 = 349

Step 2: Find the prime factorization of 355

355 = 5 x 71

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

LCM = 123895 = 5 x 71 x 349

Step 4: Therefore, the least common multiple of 349 and 355 is 123895.