Given Numbers are 285, 290

We can find the LCM of 285, 290 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 285 and 290

Multiples of 285 =285,570,855,1140,1425,1710,1995,2280,2565,2850,3135,3420,3705,3990,4275,4560,4845,

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 285, 290 which is 16530

So, the LCM of 285, 290 is 16530.

One method for determining the LCM of 285 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 285's prime factorization:

Prime factors of 285 are 3, 5,19.

285 = 3¹×5¹×19¹

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: 3, 5,19, 2,29

2¹×3¹×5¹×19¹×29¹ = 16530

This shows that the LCM of 285 and 290 is 16530.

The first step in determining the Least Common Multiple of 285 and 290 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 285 and 290:

Lets look at the first ten multiples of these numbers, 285 and 290:

285,570,855,1140,1425,1710,1995,2280,2565,4845 are the first ten multiples of 285.

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 285 and 290, for example, are 3420, 4845, and 4640. 16530 is the least common multiple since it is the smallest.

285 and 290 have an LCM of 16530.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 285 and 290, than apply into the LCM equation.

GCF(285,290) = 5
LCM(285,290) = ( 285 × 290) / 5
LCM(285,290) = 82650 / 5
LCM(285,290) = 16530

1. What is the LCM of 285 and 290?

The LCM of 285 and 290 is 16530.

2. How to find the lowest common multiple of 285 and 290?

To find the lowest common multiple of 285 and 290, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16530.

3. What are the Factors of 285?

Answer: Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. There are 8 integers that are factors of 285. The greatest factor of 285 is 285.

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 285 and 290 = 16530

Step 1: Find the prime factorization of 285

285 = 3 x 5 x 19

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 = 16530 = 2 x 3 x 5 x 19 x 29

Step 4: Therefore, the least common multiple of 285 and 290 is 16530.