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LCM of 791, 457, 933, 826

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


Find the LCM of 791, 457, 933, 826 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 791, 457, 933, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,457,933,826

Given numbers are 791,457,933,826

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

The LCM of 791,457,933,826 is 39797549778.

Find LCM of 791,457,933,826 with Prime Factorization


7 791, 457, 933, 826
113, 457, 933, 118

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

7 x 113 x 457 x 933 x 118 = 39797549778

Therefore, the lowest common multiple of 791,457,933,826 is 39797549778.

LCM Formula to Find Lowest Common Multiple of 791,457,933,826

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.

791 x 457 x 933 x 826 = 278582848446

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.

791 : 1, 7, 113, 791

457 : 1, 457

933 : 1, 3, 311, 933

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,457,933,826, is 1.

Now, the common factors can be found like this.

791:7x 113

457:457

933:3x 311

826:2x 7x 59

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

7 = 7

Therefore, the value for common factors is 7.

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 = 278582848446/(1x7)

LCM = 278582848446/7

LCM = 39797549778

Thus, we can understand that the LCM of 791,457,933,826 is 39797549778.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 457, 933, 826

1. What is the LCM of 791, 457, 933, 826?

Answer: LCM of 791, 457, 933, 826 is 39797549778.

2. How to calculate the LCM of 791, 457, 933, 826?

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 791, 457, 933, 826.

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}.