Given Numbers are 298, 305

We can find the LCM of 298, 305 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 298 and 305

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

Multiples of 305 =305,610,915,1220,1525,1830,2135,2440,2745,3050,3355,3660,3965,4270,4575,4880,5185,

Now, get the least common multiple of 298, 305 which is 90890

So, the LCM of 298, 305 is 90890.

One method for determining the LCM of 298 and 305 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 305's prime factorization:

Prime factors of 305 are 5,61.

305 = 5¹×61¹

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, 5,61

2¹×5¹×61¹×149¹ = 90890

This shows that the LCM of 298 and 305 is 90890.

The first step in determining the Least Common Multiple of 298 and 305 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 298 and 305:

Lets look at the first ten multiples of these numbers, 298 and 305:

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

305,610,915,1220,1525,1830,2135,2440,2745,5185 are the first ten multiples of 305.

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 305, for example, are 3576, 5066, and 4880. 90890 is the least common multiple since it is the smallest.

298 and 305 have an LCM of 90890.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 298 and 305, than apply into the LCM equation.

GCF(298,305) = 1
LCM(298,305) = ( 298 × 305) / 1
LCM(298,305) = 90890 / 1
LCM(298,305) = 90890

1. What is the LCM of 298 and 305?

The LCM of 298 and 305 is 90890.

2. How to find the lowest common multiple of 298 and 305?

To find the lowest common multiple of 298 and 305, we have to get the multip;es of both numbers and identify the least common multiple in them which is 90890.

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 305?

Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.

Answer:

Least Common Multiple of 298 and 305 = 90890

Step 1: Find the prime factorization of 298

298 = 2 x 149

Step 2: Find the prime factorization of 305

305 = 5 x 61

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

LCM = 90890 = 2 x 5 x 61 x 149

Step 4: Therefore, the least common multiple of 298 and 305 is 90890.