Given Numbers are 284, 290

We can find the LCM of 284, 290 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 284 and 290

Multiples of 284 =284,568,852,1136,1420,1704,1988,2272,2556,2840,3124,3408,3692,3976,4260,4544,4828,

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

Now, get the least common multiple of 284, 290 which is 41180

So, the LCM of 284, 290 is 41180.

One method for determining the LCM of 284 and 290 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 284's prime factorization:

Prime factors of 284 are 2,71.

284 = 2²×71¹

And this is 290's prime factorization:

Prime factors of 290 are 2, 5,29.

290 = 2¹×5¹×29¹

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: 2,71, 5,29

2²×5¹×29¹×71¹ = 41180

This shows that the LCM of 284 and 290 is 41180.

The first step in determining the Least Common Multiple of 284 and 290 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 284 and 290:

Lets look at the first ten multiples of these numbers, 284 and 290:

284,568,852,1136,1420,1704,1988,2272,2556,4828 are the first ten multiples of 284.

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

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 284 and 290, for example, are 3408, 4828, and 4640. 41180 is the least common multiple since it is the smallest.

284 and 290 have an LCM of 41180.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 284 and 290, than apply into the LCM equation.

GCF(284,290) = 2
LCM(284,290) = ( 284 × 290) / 2
LCM(284,290) = 82360 / 2
LCM(284,290) = 41180

1. What is the LCM of 284 and 290?

The LCM of 284 and 290 is 41180.

2. How to find the lowest common multiple of 284 and 290?

To find the lowest common multiple of 284 and 290, we have to get the multip;es of both numbers and identify the least common multiple in them which is 41180.

3. What are the Factors of 284?

Answer: Factors of 284 are 1, 2, 4, 71, 142, 284. There are 6 integers that are factors of 284. The greatest factor of 284 is 284.

4. 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.

Answer:

Least Common Multiple of 284 and 290 = 41180

Step 1: Find the prime factorization of 284

284 = 2 x 2 x 71

Step 2: Find the prime factorization of 290

290 = 2 x 5 x 29

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

LCM = 41180 = 2 x 2 x 5 x 29 x 71

Step 4: Therefore, the least common multiple of 284 and 290 is 41180.