Given Numbers are 296, 302

We can find the LCM of 296, 302 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 296 and 302

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

Multiples of 302 =302,604,906,1208,1510,1812,2114,2416,2718,3020,3322,3624,3926,4228,4530,4832,5134,

Now, get the least common multiple of 296, 302 which is 44696

So, the LCM of 296, 302 is 44696.

One method for determining the LCM of 296 and 302 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 302's prime factorization:

Prime factors of 302 are 2,151.

302 = 2¹×151¹

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: 2,37,151

2³×37¹×151¹ = 44696

This shows that the LCM of 296 and 302 is 44696.

The first step in determining the Least Common Multiple of 296 and 302 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 296 and 302:

Lets look at the first ten multiples of these numbers, 296 and 302:

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

302,604,906,1208,1510,1812,2114,2416,2718,5134 are the first ten multiples of 302.

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 302, for example, are 3552, 5032, and 4832. 44696 is the least common multiple since it is the smallest.

296 and 302 have an LCM of 44696.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 296 and 302, than apply into the LCM equation.

GCF(296,302) = 2
LCM(296,302) = ( 296 × 302) / 2
LCM(296,302) = 89392 / 2
LCM(296,302) = 44696

1. What is the LCM of 296 and 302?

The LCM of 296 and 302 is 44696.

2. How to find the lowest common multiple of 296 and 302?

To find the lowest common multiple of 296 and 302, we have to get the multip;es of both numbers and identify the least common multiple in them which is 44696.

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 302?

Answer: Factors of 302 are 1, 2, 151, 302. There are 4 integers that are factors of 302. The greatest factor of 302 is 302.

Answer:

Least Common Multiple of 296 and 302 = 44696

Step 1: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 302

302 = 2 x 151

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

LCM = 44696 = 2 x 2 x 2 x 37 x 151

Step 4: Therefore, the least common multiple of 296 and 302 is 44696.