Given Numbers are 301, 308

We can find the LCM of 301, 308 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 301 and 308

Multiples of 301 =301,602,903,1204,1505,1806,2107,2408,2709,3010,3311,3612,3913,4214,4515,4816,5117,

Multiples of 308 =308,616,924,1232,1540,1848,2156,2464,2772,3080,3388,3696,4004,4312,4620,4928,5236,

Now, get the least common multiple of 301, 308 which is 13244

So, the LCM of 301, 308 is 13244.

One method for determining the LCM of 301 and 308 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 301's prime factorization:

Prime factors of 301 are 7,43.

301 = 7¹×43¹

And this is 308's prime factorization:

Prime factors of 308 are 2, 7,11.

308 = 2²×7¹×11¹

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: 7,43, 2,11

2²×7¹×11¹×43¹ = 13244

This shows that the LCM of 301 and 308 is 13244.

The first step in determining the Least Common Multiple of 301 and 308 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 301 and 308:

Lets look at the first ten multiples of these numbers, 301 and 308:

301,602,903,1204,1505,1806,2107,2408,2709,5117 are the first ten multiples of 301.

308,616,924,1232,1540,1848,2156,2464,2772,5236 are the first ten multiples of 308.

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 301 and 308, for example, are 3612, 5117, and 4928. 13244 is the least common multiple since it is the smallest.

301 and 308 have an LCM of 13244.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 301 and 308, than apply into the LCM equation.

GCF(301,308) = 7
LCM(301,308) = ( 301 × 308) / 7
LCM(301,308) = 92708 / 7
LCM(301,308) = 13244

1. What is the LCM of 301 and 308?

The LCM of 301 and 308 is 13244.

2. How to find the lowest common multiple of 301 and 308?

To find the lowest common multiple of 301 and 308, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13244.

3. What are the Factors of 301?

Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.

4. What are the Factors of 308?

Answer: Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. There are 12 integers that are factors of 308. The greatest factor of 308 is 308.

Answer:

Least Common Multiple of 301 and 308 = 13244

Step 1: Find the prime factorization of 301

301 = 7 x 43

Step 2: Find the prime factorization of 308

308 = 2 x 2 x 7 x 11

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

LCM = 13244 = 2 x 2 x 7 x 11 x 43

Step 4: Therefore, the least common multiple of 301 and 308 is 13244.