Given Numbers are 292, 298

We can find the LCM of 292, 298 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 292 and 298

Multiples of 292 =292,584,876,1168,1460,1752,2044,2336,2628,2920,3212,3504,3796,4088,4380,4672,4964,

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 292, 298 which is 43508

So, the LCM of 292, 298 is 43508.

One method for determining the LCM of 292 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 292's prime factorization:

Prime factors of 292 are 2,73.

292 = 2²×73¹

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: 2,73,149

2²×73¹×149¹ = 43508

This shows that the LCM of 292 and 298 is 43508.

The first step in determining the Least Common Multiple of 292 and 298 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 292 and 298:

Lets look at the first ten multiples of these numbers, 292 and 298:

292,584,876,1168,1460,1752,2044,2336,2628,4964 are the first ten multiples of 292.

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 292 and 298, for example, are 3504, 4964, and 4768. 43508 is the least common multiple since it is the smallest.

292 and 298 have an LCM of 43508.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 292 and 298, than apply into the LCM equation.

GCF(292,298) = 2
LCM(292,298) = ( 292 × 298) / 2
LCM(292,298) = 87016 / 2
LCM(292,298) = 43508

1. What is the LCM of 292 and 298?

The LCM of 292 and 298 is 43508.

2. How to find the lowest common multiple of 292 and 298?

To find the lowest common multiple of 292 and 298, we have to get the multip;es of both numbers and identify the least common multiple in them which is 43508.

3. What are the Factors of 292?

Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.

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 292 and 298 = 43508

Step 1: Find the prime factorization of 292

292 = 2 x 2 x 73

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 = 43508 = 2 x 2 x 73 x 149

Step 4: Therefore, the least common multiple of 292 and 298 is 43508.