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LCM of 728, 137, 793, 843

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


Find the LCM of 728, 137, 793, 843 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 728, 137, 793, 843. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 728,137,793,843

Given numbers are 728,137,793,843

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

The LCM of 728,137,793,843 is 5128724328.

Find LCM of 728,137,793,843 with Prime Factorization


13 728, 137, 793, 843
56, 137, 61, 843

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

13 x 56 x 137 x 61 x 843 = 5128724328

Therefore, the lowest common multiple of 728,137,793,843 is 5128724328.

LCM Formula to Find Lowest Common Multiple of 728,137,793,843

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.

728 x 137 x 793 x 843 = 66673416264

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

137 : 1, 137

793 : 1, 13, 61, 793

843 : 1, 3, 281, 843

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,137,793,843, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

137:137

793:13x 61

843:3x 281

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

13 = 13

Therefore, the value for common factors is 13.

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 = 66673416264/(1x13)

LCM = 66673416264/13

LCM = 5128724328

Thus, we can understand that the LCM of 728,137,793,843 is 5128724328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 728, 137, 793, 843

1. What is the LCM of 728, 137, 793, 843?

Answer: LCM of 728, 137, 793, 843 is 5128724328.

2. How to calculate the LCM of 728, 137, 793, 843?

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 728, 137, 793, 843.

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}.