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LCM of 348, 868, 231, 721, 798

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


Find the LCM of 348, 868, 231, 721, 798 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 348, 868, 231, 721, 798. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 348,868,231,721,798

Given numbers are 348,868,231,721,798

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

The LCM of 348,868,231,721,798 is 1625632932.

Find LCM of 348,868,231,721,798 with Prime Factorization


2 348, 868, 231, 721, 798
2 174, 434, 231, 721, 399
3 87, 217, 231, 721, 399
7 29, 217, 77, 721, 133
29, 31, 11, 103, 19

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

2 x 2 x 3 x 7 x 29 x 31 x 11 x 103 x 19 = 1625632932

Therefore, the lowest common multiple of 348,868,231,721,798 is 1625632932.

LCM Formula to Find Lowest Common Multiple of 348,868,231,721,798

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.

348 x 868 x 231 x 721 x 798 = 40146630888672

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

231 : 1, 3, 7, 11, 21, 33, 77, 231

721 : 1, 7, 103, 721

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,868,231,721,798, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

868:2x 2x 7x 31

231:3x 7x 11

721:7x 103

798:2x 3x 7x 19

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 3x 3x 7x 7x 7 = 24696

Therefore, the value for common factors is 24696.

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 = 40146630888672/(1x24696)

LCM = 40146630888672/24696

LCM = 1625632932

Thus, we can understand that the LCM of 348,868,231,721,798 is 1625632932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 348, 868, 231, 721, 798

1. What is the LCM of 348, 868, 231, 721, 798?

Answer: LCM of 348, 868, 231, 721, 798 is 1625632932.

2. How to calculate the LCM of 348, 868, 231, 721, 798?

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 348, 868, 231, 721, 798.

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}.