Given Numbers are 349, 354

We can find the LCM of 349, 354 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 349 and 354

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

Multiples of 354 =354,708,1062,1416,1770,2124,2478,2832,3186,3540,3894,4248,4602,4956,5310,5664,6018,

Now, get the least common multiple of 349, 354 which is 123546

So, the LCM of 349, 354 is 123546.

One method for determining the LCM of 349 and 354 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 354's prime factorization:

Prime factors of 354 are 2, 3,59.

354 = 2¹×3¹×59¹

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, 2, 3,59

2¹×3¹×59¹×349¹ = 123546

This shows that the LCM of 349 and 354 is 123546.

The first step in determining the Least Common Multiple of 349 and 354 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 349 and 354:

Lets look at the first ten multiples of these numbers, 349 and 354:

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

354,708,1062,1416,1770,2124,2478,2832,3186,6018 are the first ten multiples of 354.

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 354, for example, are 4188, 5933, and 5664. 123546 is the least common multiple since it is the smallest.

349 and 354 have an LCM of 123546.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 349 and 354, than apply into the LCM equation.

GCF(349,354) = 1
LCM(349,354) = ( 349 × 354) / 1
LCM(349,354) = 123546 / 1
LCM(349,354) = 123546

1. What is the LCM of 349 and 354?

The LCM of 349 and 354 is 123546.

2. How to find the lowest common multiple of 349 and 354?

To find the lowest common multiple of 349 and 354, we have to get the multip;es of both numbers and identify the least common multiple in them which is 123546.

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 354?

Answer: Factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. There are 8 integers that are factors of 354. The greatest factor of 354 is 354.

Answer:

Least Common Multiple of 349 and 354 = 123546

Step 1: Find the prime factorization of 349

349 = 349

Step 2: Find the prime factorization of 354

354 = 2 x 3 x 59

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

LCM = 123546 = 2 x 3 x 59 x 349

Step 4: Therefore, the least common multiple of 349 and 354 is 123546.