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LCM of 797, 669, 899, 140, 856

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


Find the LCM of 797, 669, 899, 140, 856 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, 669, 899, 140, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,669,899,140,856

Given numbers are 797,669,899,140,856

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

The LCM of 797,669,899,140,856 is 14361041589720.

Find LCM of 797,669,899,140,856 with Prime Factorization


2 797, 669, 899, 140, 856
2 797, 669, 899, 70, 428
797, 669, 899, 35, 214

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

2 x 2 x 797 x 669 x 899 x 35 x 214 = 14361041589720

Therefore, the lowest common multiple of 797,669,899,140,856 is 14361041589720.

LCM Formula to Find Lowest Common Multiple of 797,669,899,140,856

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 669 x 899 x 140 x 856 = 57444166358880

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

669 : 1, 3, 223, 669

899 : 1, 29, 31, 899

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,669,899,140,856, is 1.

Now, the common factors can be found like this.

797:797

669:3x 223

899:29x 31

140:2x 2x 5x 7

856:2x 2x 2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 57444166358880/(1x4)

LCM = 57444166358880/4

LCM = 14361041589720

Thus, we can understand that the LCM of 797,669,899,140,856 is 14361041589720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 669, 899, 140, 856

1. What is the LCM of 797, 669, 899, 140, 856?

Answer: LCM of 797, 669, 899, 140, 856 is 14361041589720.

2. How to calculate the LCM of 797, 669, 899, 140, 856?

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, 669, 899, 140, 856.

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}.