LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 808, 290, 128, 725, 857

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 808, 290, 128, 725, 857 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 808, 290, 128, 725, 857. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,290,128,725,857

Given numbers are 808,290,128,725,857

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 808,290,128,725,857 is 8032489600.

Find LCM of 808,290,128,725,857 with Prime Factorization


2 808, 290, 128, 725, 857
2 404, 145, 64, 725, 857
2 202, 145, 32, 725, 857
5 101, 145, 16, 725, 857
29 101, 29, 16, 145, 857
101, 1, 16, 5, 857

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 5 x 29 x 101 x 1 x 16 x 5 x 857 = 8032489600

Therefore, the lowest common multiple of 808,290,128,725,857 is 8032489600.

LCM Formula to Find Lowest Common Multiple of 808,290,128,725,857

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

808 x 290 x 128 x 725 x 857 = 18635375872000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

808 : 1, 2, 4, 8, 101, 202, 404, 808

290 : 1, 2, 5, 10, 29, 58, 145, 290

128 : 1, 2, 4, 8, 16, 32, 64, 128

725 : 1, 5, 25, 29, 145, 725

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,290,128,725,857, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

290:2x 5x 29

128:2x 2x 2x 2x 2x 2x 2

725:5x 5x 29

857:857

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 5x 29 = 2320

Therefore, the value for common factors is 2320.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 18635375872000/(1x2320)

LCM = 18635375872000/2320

LCM = 8032489600

Thus, we can understand that the LCM of 808,290,128,725,857 is 8032489600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 290, 128, 725, 857

1. What is the LCM of 808, 290, 128, 725, 857?

Answer: LCM of 808, 290, 128, 725, 857 is 8032489600.

2. How to calculate the LCM of 808, 290, 128, 725, 857?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 808, 290, 128, 725, 857.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.