Given Numbers are 293, 298

We can find the LCM of 293, 298 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 293 and 298

Multiples of 293 =293,586,879,1172,1465,1758,2051,2344,2637,2930,3223,3516,3809,4102,4395,4688,4981,

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

Now, get the least common multiple of 293, 298 which is 87314

So, the LCM of 293, 298 is 87314.

One method for determining the LCM of 293 and 298 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 293's prime factorization:

Prime factors of 293 are 293.

293 = 293¹

And this is 298's prime factorization:

Prime factors of 298 are 2,149.

298 = 2¹×149¹

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:293, 2,149

2¹×149¹×293¹ = 87314

This shows that the LCM of 293 and 298 is 87314.

The first step in determining the Least Common Multiple of 293 and 298 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 293 and 298:

Lets look at the first ten multiples of these numbers, 293 and 298:

293,586,879,1172,1465,1758,2051,2344,2637,4981 are the first ten multiples of 293.

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

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 293 and 298, for example, are 3516, 4981, and 4768. 87314 is the least common multiple since it is the smallest.

293 and 298 have an LCM of 87314.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 293 and 298, than apply into the LCM equation.

GCF(293,298) = 1
LCM(293,298) = ( 293 × 298) / 1
LCM(293,298) = 87314 / 1
LCM(293,298) = 87314

1. What is the LCM of 293 and 298?

The LCM of 293 and 298 is 87314.

2. How to find the lowest common multiple of 293 and 298?

To find the lowest common multiple of 293 and 298, we have to get the multip;es of both numbers and identify the least common multiple in them which is 87314.

3. What are the Factors of 293?

Answer: Factors of 293 are 1, 293. There are 2 integers that are factors of 293. The greatest factor of 293 is 293.

4. 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.

Answer:

Least Common Multiple of 293 and 298 = 87314

Step 1: Find the prime factorization of 293

293 = 293

Step 2: Find the prime factorization of 298

298 = 2 x 149

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

LCM = 87314 = 2 x 149 x 293

Step 4: Therefore, the least common multiple of 293 and 298 is 87314.