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LCM of 791, 871, 661, 874, 793

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


Find the LCM of 791, 871, 661, 874, 793 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, 871, 661, 874, 793. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,871,661,874,793

Given numbers are 791,871,661,874,793

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

The LCM of 791,871,661,874,793 is 24279367324394.

Find LCM of 791,871,661,874,793 with Prime Factorization


13 791, 871, 661, 874, 793
791, 67, 661, 874, 61

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

13 x 791 x 67 x 661 x 874 x 61 = 24279367324394

Therefore, the lowest common multiple of 791,871,661,874,793 is 24279367324394.

LCM Formula to Find Lowest Common Multiple of 791,871,661,874,793

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 871 x 661 x 874 x 793 = 315631775217122

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

871 : 1, 13, 67, 871

661 : 1, 661

874 : 1, 2, 19, 23, 38, 46, 437, 874

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,871,661,874,793, is 1.

Now, the common factors can be found like this.

791:7x 113

871:13x 67

661:661

874:2x 19x 23

793:13x 61

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 = 315631775217122/(1x13)

LCM = 315631775217122/13

LCM = 24279367324394

Thus, we can understand that the LCM of 791,871,661,874,793 is 24279367324394.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 871, 661, 874, 793

1. What is the LCM of 791, 871, 661, 874, 793?

Answer: LCM of 791, 871, 661, 874, 793 is 24279367324394.

2. How to calculate the LCM of 791, 871, 661, 874, 793?

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, 871, 661, 874, 793.

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}.