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LCM of 792, 791, 896, 677, 719

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


Find the LCM of 792, 791, 896, 677, 719 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 792, 791, 896, 677, 719. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,791,896,677,719

Given numbers are 792,791,896,677,719

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

The LCM of 792,791,896,677,719 is 4879094242176.

Find LCM of 792,791,896,677,719 with Prime Factorization


2 792, 791, 896, 677, 719
2 396, 791, 448, 677, 719
2 198, 791, 224, 677, 719
7 99, 791, 112, 677, 719
99, 113, 16, 677, 719

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

2 x 2 x 2 x 7 x 99 x 113 x 16 x 677 x 719 = 4879094242176

Therefore, the lowest common multiple of 792,791,896,677,719 is 4879094242176.

LCM Formula to Find Lowest Common Multiple of 792,791,896,677,719

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.

792 x 791 x 896 x 677 x 719 = 273229277561856

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

791 : 1, 7, 113, 791

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

677 : 1, 677

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,791,896,677,719, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

791:7x 113

896:2x 2x 2x 2x 2x 2x 2x 7

677:677

719:719

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 7 = 56

Therefore, the value for common factors is 56.

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 = 273229277561856/(1x56)

LCM = 273229277561856/56

LCM = 4879094242176

Thus, we can understand that the LCM of 792,791,896,677,719 is 4879094242176.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 791, 896, 677, 719

1. What is the LCM of 792, 791, 896, 677, 719?

Answer: LCM of 792, 791, 896, 677, 719 is 4879094242176.

2. How to calculate the LCM of 792, 791, 896, 677, 719?

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 792, 791, 896, 677, 719.

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}.