Given Numbers are 296, 304

We can find the LCM of 296, 304 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 296 and 304

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

Multiples of 304 =304,608,912,1216,1520,1824,2128,2432,2736,3040,3344,3648,3952,4256,4560,4864,5168,

Now, get the least common multiple of 296, 304 which is 11248

So, the LCM of 296, 304 is 11248.

One method for determining the LCM of 296 and 304 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 296's prime factorization:

Prime factors of 296 are 2,37.

296 = 2³×37¹

And this is 304's prime factorization:

Prime factors of 304 are 2,19.

304 = 2⁴×19¹

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: 2,37,19

2⁴×19¹×37¹ = 11248

This shows that the LCM of 296 and 304 is 11248.

The first step in determining the Least Common Multiple of 296 and 304 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 296 and 304:

Lets look at the first ten multiples of these numbers, 296 and 304:

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

304,608,912,1216,1520,1824,2128,2432,2736,5168 are the first ten multiples of 304.

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 296 and 304, for example, are 3552, 5032, and 4864. 11248 is the least common multiple since it is the smallest.

296 and 304 have an LCM of 11248.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 296 and 304, than apply into the LCM equation.

GCF(296,304) = 8
LCM(296,304) = ( 296 × 304) / 8
LCM(296,304) = 89984 / 8
LCM(296,304) = 11248

1. What is the LCM of 296 and 304?

The LCM of 296 and 304 is 11248.

2. How to find the lowest common multiple of 296 and 304?

To find the lowest common multiple of 296 and 304, we have to get the multip;es of both numbers and identify the least common multiple in them which is 11248.

3. 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.

4. What are the Factors of 304?

Answer: Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. There are 10 integers that are factors of 304. The greatest factor of 304 is 304.

Answer:

Least Common Multiple of 296 and 304 = 11248

Step 1: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 304

304 = 2 x 2 x 2 x 2 x 19

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

LCM = 11248 = 2 x 2 x 2 x 2 x 19 x 37

Step 4: Therefore, the least common multiple of 296 and 304 is 11248.