Given Numbers are 291, 296

We can find the LCM of 291, 296 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 291 and 296

Multiples of 291 =291,582,873,1164,1455,1746,2037,2328,2619,2910,3201,3492,3783,4074,4365,4656,4947,

Multiples of 296 =296,592,888,1184,1480,1776,2072,2368,2664,2960,3256,3552,3848,4144,4440,4736,5032,

Now, get the least common multiple of 291, 296 which is 86136

So, the LCM of 291, 296 is 86136.

One method for determining the LCM of 291 and 296 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 291's prime factorization:

Prime factors of 291 are 3,97.

291 = 3¹×97¹

And this is 296's prime factorization:

Prime factors of 296 are 2,37.

296 = 2³×37¹

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: 3,97, 2,37

2³×3¹×37¹×97¹ = 86136

This shows that the LCM of 291 and 296 is 86136.

The first step in determining the Least Common Multiple of 291 and 296 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 291 and 296:

Lets look at the first ten multiples of these numbers, 291 and 296:

291,582,873,1164,1455,1746,2037,2328,2619,4947 are the first ten multiples of 291.

296,592,888,1184,1480,1776,2072,2368,2664,5032 are the first ten multiples of 296.

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 291 and 296, for example, are 3492, 4947, and 4736. 86136 is the least common multiple since it is the smallest.

291 and 296 have an LCM of 86136.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 291 and 296, than apply into the LCM equation.

GCF(291,296) = 1
LCM(291,296) = ( 291 × 296) / 1
LCM(291,296) = 86136 / 1
LCM(291,296) = 86136

1. What is the LCM of 291 and 296?

The LCM of 291 and 296 is 86136.

2. How to find the lowest common multiple of 291 and 296?

To find the lowest common multiple of 291 and 296, we have to get the multip;es of both numbers and identify the least common multiple in them which is 86136.

3. What are the Factors of 291?

Answer: Factors of 291 are 1, 3, 97, 291. There are 4 integers that are factors of 291. The greatest factor of 291 is 291.

4. What are the Factors of 296?

Answer: Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. There are 8 integers that are factors of 296. The greatest factor of 296 is 296.

Answer:

Least Common Multiple of 291 and 296 = 86136

Step 1: Find the prime factorization of 291

291 = 3 x 97

Step 2: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

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

LCM = 86136 = 2 x 2 x 2 x 3 x 37 x 97

Step 4: Therefore, the least common multiple of 291 and 296 is 86136.