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LCM of 791, 860, 889

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


Find the LCM of 791, 860, 889 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, 860, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,860,889

Given numbers are 791,860,889

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

The LCM of 791,860,889 is 86393020.

Find LCM of 791,860,889 with Prime Factorization


7 791, 860, 889
113, 860, 127

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

7 x 113 x 860 x 127 = 86393020

Therefore, the lowest common multiple of 791,860,889 is 86393020.

LCM Formula to Find Lowest Common Multiple of 791,860,889

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 860 x 889 = 604751140

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

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,860,889, is 1.

Now, the common factors can be found like this.

791:7x 113

860:2x 2x 5x 43

889:7x 127

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 = 604751140/(1x7)

LCM = 604751140/7

LCM = 86393020

Thus, we can understand that the LCM of 791,860,889 is 86393020.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 791, 860, 889

1. What is the LCM of 791, 860, 889?

Answer: LCM of 791, 860, 889 is 86393020.

2. How to calculate the LCM of 791, 860, 889?

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, 860, 889.

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}.