Given Numbers are 299, 307

We can find the LCM of 299, 307 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 299 and 307

Multiples of 299 =299,598,897,1196,1495,1794,2093,2392,2691,2990,3289,3588,3887,4186,4485,4784,5083,

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 299, 307 which is 91793

So, the LCM of 299, 307 is 91793.

One method for determining the LCM of 299 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 299's prime factorization:

Prime factors of 299 are 13,23.

299 = 13¹×23¹

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: 13,23,307

13¹×23¹×307¹ = 91793

This shows that the LCM of 299 and 307 is 91793.

The first step in determining the Least Common Multiple of 299 and 307 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 299 and 307:

Lets look at the first ten multiples of these numbers, 299 and 307:

299,598,897,1196,1495,1794,2093,2392,2691,5083 are the first ten multiples of 299.

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 299 and 307, for example, are 3588, 5083, and 4912. 91793 is the least common multiple since it is the smallest.

299 and 307 have an LCM of 91793.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 299 and 307, than apply into the LCM equation.

GCF(299,307) = 1
LCM(299,307) = ( 299 × 307) / 1
LCM(299,307) = 91793 / 1
LCM(299,307) = 91793

1. What is the LCM of 299 and 307?

The LCM of 299 and 307 is 91793.

2. How to find the lowest common multiple of 299 and 307?

To find the lowest common multiple of 299 and 307, we have to get the multip;es of both numbers and identify the least common multiple in them which is 91793.

3. What are the Factors of 299?

Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.

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 299 and 307 = 91793

Step 1: Find the prime factorization of 299

299 = 13 x 23

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 = 91793 = 13 x 23 x 307

Step 4: Therefore, the least common multiple of 299 and 307 is 91793.