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LCM of 830, 356, 284, 701, 801

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


Find the LCM of 830, 356, 284, 701, 801 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 830, 356, 284, 701, 801. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 830,356,284,701,801

Given numbers are 830,356,284,701,801

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

The LCM of 830,356,284,701,801 is 66178507860.

Find LCM of 830,356,284,701,801 with Prime Factorization


2 830, 356, 284, 701, 801
2 415, 178, 142, 701, 801
89 415, 89, 71, 701, 801
415, 1, 71, 701, 9

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

2 x 2 x 89 x 415 x 1 x 71 x 701 x 9 = 66178507860

Therefore, the lowest common multiple of 830,356,284,701,801 is 66178507860.

LCM Formula to Find Lowest Common Multiple of 830,356,284,701,801

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.

830 x 356 x 284 x 701 x 801 = 47119097596320

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

356 : 1, 2, 4, 89, 178, 356

284 : 1, 2, 4, 71, 142, 284

701 : 1, 701

801 : 1, 3, 9, 89, 267, 801

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,356,284,701,801, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

356:2x 2x 89

284:2x 2x 71

701:701

801:3x 3x 89

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 89 = 712

Therefore, the value for common factors is 712.

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 = 47119097596320/(1x712)

LCM = 47119097596320/712

LCM = 66178507860

Thus, we can understand that the LCM of 830,356,284,701,801 is 66178507860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 830, 356, 284, 701, 801

1. What is the LCM of 830, 356, 284, 701, 801?

Answer: LCM of 830, 356, 284, 701, 801 is 66178507860.

2. How to calculate the LCM of 830, 356, 284, 701, 801?

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 830, 356, 284, 701, 801.

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}.