Given Numbers are 301, 307

We can find the LCM of 301, 307 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 301 and 307

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

Multiples of 307 =307,614,921,1228,1535,1842,2149,2456,2763,3070,3377,3684,3991,4298,4605,4912,5219,

Now, get the least common multiple of 301, 307 which is 92407

So, the LCM of 301, 307 is 92407.

One method for determining the LCM of 301 and 307 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 307's prime factorization:

Prime factors of 307 are 307.

307 = 307¹

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: 7,43,307

7¹×43¹×307¹ = 92407

This shows that the LCM of 301 and 307 is 92407.

The first step in determining the Least Common Multiple of 301 and 307 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 301 and 307:

Lets look at the first ten multiples of these numbers, 301 and 307:

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

307,614,921,1228,1535,1842,2149,2456,2763,5219 are the first ten multiples of 307.

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 307, for example, are 3612, 5117, and 4912. 92407 is the least common multiple since it is the smallest.

301 and 307 have an LCM of 92407.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 301 and 307, than apply into the LCM equation.

GCF(301,307) = 1
LCM(301,307) = ( 301 × 307) / 1
LCM(301,307) = 92407 / 1
LCM(301,307) = 92407

1. What is the LCM of 301 and 307?

The LCM of 301 and 307 is 92407.

2. How to find the lowest common multiple of 301 and 307?

To find the lowest common multiple of 301 and 307, we have to get the multip;es of both numbers and identify the least common multiple in them which is 92407.

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 307?

Answer: Factors of 307 are 1, 307. There are 2 integers that are factors of 307. The greatest factor of 307 is 307.

Answer:

Least Common Multiple of 301 and 307 = 92407

Step 1: Find the prime factorization of 301

301 = 7 x 43

Step 2: Find the prime factorization of 307

307 = 307

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

LCM = 92407 = 7 x 43 x 307

Step 4: Therefore, the least common multiple of 301 and 307 is 92407.