Given Numbers are 305, 311

We can find the LCM of 305, 311 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 305 and 311

Multiples of 305 =305,610,915,1220,1525,1830,2135,2440,2745,3050,3355,3660,3965,4270,4575,4880,5185,

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 305, 311 which is 94855

So, the LCM of 305, 311 is 94855.

One method for determining the LCM of 305 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 305's prime factorization:

Prime factors of 305 are 5,61.

305 = 5¹×61¹

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: 5,61,311

5¹×61¹×311¹ = 94855

This shows that the LCM of 305 and 311 is 94855.

The first step in determining the Least Common Multiple of 305 and 311 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 305 and 311:

Lets look at the first ten multiples of these numbers, 305 and 311:

305,610,915,1220,1525,1830,2135,2440,2745,5185 are the first ten multiples of 305.

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 305 and 311, for example, are 3660, 5185, and 4976. 94855 is the least common multiple since it is the smallest.

305 and 311 have an LCM of 94855.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 305 and 311, than apply into the LCM equation.

GCF(305,311) = 1
LCM(305,311) = ( 305 × 311) / 1
LCM(305,311) = 94855 / 1
LCM(305,311) = 94855

1. What is the LCM of 305 and 311?

The LCM of 305 and 311 is 94855.

2. How to find the lowest common multiple of 305 and 311?

To find the lowest common multiple of 305 and 311, we have to get the multip;es of both numbers and identify the least common multiple in them which is 94855.

3. What are the Factors of 305?

Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.

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 305 and 311 = 94855

Step 1: Find the prime factorization of 305

305 = 5 x 61

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 = 94855 = 5 x 61 x 311

Step 4: Therefore, the least common multiple of 305 and 311 is 94855.