Given Numbers are 298, 302

We can find the LCM of 298, 302 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 298 and 302

Multiples of 298 =298,596,894,1192,1490,1788,2086,2384,2682,2980,3278,3576,3874,4172,4470,4768,5066,

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 298, 302 which is 44998

So, the LCM of 298, 302 is 44998.

One method for determining the LCM of 298 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 298's prime factorization:

Prime factors of 298 are 2,149.

298 = 2¹×149¹

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: 2,149,151

2¹×149¹×151¹ = 44998

This shows that the LCM of 298 and 302 is 44998.

The first step in determining the Least Common Multiple of 298 and 302 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 298 and 302:

Lets look at the first ten multiples of these numbers, 298 and 302:

298,596,894,1192,1490,1788,2086,2384,2682,5066 are the first ten multiples of 298.

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 298 and 302, for example, are 3576, 5066, and 4832. 44998 is the least common multiple since it is the smallest.

298 and 302 have an LCM of 44998.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 298 and 302, than apply into the LCM equation.

GCF(298,302) = 2
LCM(298,302) = ( 298 × 302) / 2
LCM(298,302) = 89996 / 2
LCM(298,302) = 44998

1. What is the LCM of 298 and 302?

The LCM of 298 and 302 is 44998.

2. How to find the lowest common multiple of 298 and 302?

To find the lowest common multiple of 298 and 302, we have to get the multip;es of both numbers and identify the least common multiple in them which is 44998.

3. What are the Factors of 298?

Answer: Factors of 298 are 1, 2, 149, 298. There are 4 integers that are factors of 298. The greatest factor of 298 is 298.

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 298 and 302 = 44998

Step 1: Find the prime factorization of 298

298 = 2 x 149

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 = 44998 = 2 x 149 x 151

Step 4: Therefore, the least common multiple of 298 and 302 is 44998.