Given Numbers are 307, 311

We can find the LCM of 307, 311 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 307 and 311

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

Multiples of 311 =311,622,933,1244,1555,1866,2177,2488,2799,3110,3421,3732,4043,4354,4665,4976,5287,

Now, get the least common multiple of 307, 311 which is 95477

So, the LCM of 307, 311 is 95477.

One method for determining the LCM of 307 and 311 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 307's prime factorization:

Prime factors of 307 are 307.

307 = 307¹

And this is 311's prime factorization:

Prime factors of 311 are 311.

311 = 311¹

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:307,311

307¹×311¹ = 95477

This shows that the LCM of 307 and 311 is 95477.

The first step in determining the Least Common Multiple of 307 and 311 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 307 and 311:

Lets look at the first ten multiples of these numbers, 307 and 311:

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

311,622,933,1244,1555,1866,2177,2488,2799,5287 are the first ten multiples of 311.

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 307 and 311, for example, are 3684, 5219, and 4976. 95477 is the least common multiple since it is the smallest.

307 and 311 have an LCM of 95477.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307 and 311, than apply into the LCM equation.

GCF(307,311) = 1
LCM(307,311) = ( 307 × 311) / 1
LCM(307,311) = 95477 / 1
LCM(307,311) = 95477

1. What is the LCM of 307 and 311?

The LCM of 307 and 311 is 95477.

2. How to find the lowest common multiple of 307 and 311?

To find the lowest common multiple of 307 and 311, we have to get the multip;es of both numbers and identify the least common multiple in them which is 95477.

3. 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.

4. What are the Factors of 311?

Answer: Factors of 311 are 1, 311. There are 2 integers that are factors of 311. The greatest factor of 311 is 311.

Answer:

Least Common Multiple of 307 and 311 = 95477

Step 1: Find the prime factorization of 307

307 = 307

Step 2: Find the prime factorization of 311

311 = 311

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

LCM = 95477 = 307 x 311

Step 4: Therefore, the least common multiple of 307 and 311 is 95477.