Given Numbers are 290, 298

We can find the LCM of 290, 298 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 290 and 298

Multiples of 290 =290,580,870,1160,1450,1740,2030,2320,2610,2900,3190,3480,3770,4060,4350,4640,4930,

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 290, 298 which is 43210

So, the LCM of 290, 298 is 43210.

One method for determining the LCM of 290 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 290's prime factorization:

Prime factors of 290 are 2, 5,29.

290 = 2¹×5¹×29¹

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, 5,29,149

2¹×5¹×29¹×149¹ = 43210

This shows that the LCM of 290 and 298 is 43210.

The first step in determining the Least Common Multiple of 290 and 298 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 290 and 298:

Lets look at the first ten multiples of these numbers, 290 and 298:

290,580,870,1160,1450,1740,2030,2320,2610,4930 are the first ten multiples of 290.

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 290 and 298, for example, are 3480, 4930, and 4768. 43210 is the least common multiple since it is the smallest.

290 and 298 have an LCM of 43210.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 290 and 298, than apply into the LCM equation.

GCF(290,298) = 2
LCM(290,298) = ( 290 × 298) / 2
LCM(290,298) = 86420 / 2
LCM(290,298) = 43210

1. What is the LCM of 290 and 298?

The LCM of 290 and 298 is 43210.

2. How to find the lowest common multiple of 290 and 298?

To find the lowest common multiple of 290 and 298, we have to get the multip;es of both numbers and identify the least common multiple in them which is 43210.

3. What are the Factors of 290?

Answer: Factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290. There are 8 integers that are factors of 290. The greatest factor of 290 is 290.

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 290 and 298 = 43210

Step 1: Find the prime factorization of 290

290 = 2 x 5 x 29

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 = 43210 = 2 x 5 x 29 x 149

Step 4: Therefore, the least common multiple of 290 and 298 is 43210.