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LCM of 797, 573, 819, 935, 912

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


Find the LCM of 797, 573, 819, 935, 912 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 797, 573, 819, 935, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,573,819,935,912

Given numbers are 797,573,819,935,912

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

The LCM of 797,573,819,935,912 is 35437313031120.

Find LCM of 797,573,819,935,912 with Prime Factorization


3 797, 573, 819, 935, 912
797, 191, 273, 935, 304

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

3 x 797 x 191 x 273 x 935 x 304 = 35437313031120

Therefore, the lowest common multiple of 797,573,819,935,912 is 35437313031120.

LCM Formula to Find Lowest Common Multiple of 797,573,819,935,912

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.

797 x 573 x 819 x 935 x 912 = 318935817280080

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.

797 : 1, 797

573 : 1, 3, 191, 573

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

935 : 1, 5, 11, 17, 55, 85, 187, 935

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,573,819,935,912, is 1.

Now, the common factors can be found like this.

797:797

573:3x 191

819:3x 3x 7x 13

935:5x 11x 17

912:2x 2x 2x 2x 3x 19

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 318935817280080/(1x9)

LCM = 318935817280080/9

LCM = 35437313031120

Thus, we can understand that the LCM of 797,573,819,935,912 is 35437313031120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 573, 819, 935, 912

1. What is the LCM of 797, 573, 819, 935, 912?

Answer: LCM of 797, 573, 819, 935, 912 is 35437313031120.

2. How to calculate the LCM of 797, 573, 819, 935, 912?

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 797, 573, 819, 935, 912.

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}.