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LCM of 844, 777, 858, 145, 985

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


Find the LCM of 844, 777, 858, 145, 985 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 844, 777, 858, 145, 985. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 844,777,858,145,985

Given numbers are 844,777,858,145,985

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

The LCM of 844,777,858,145,985 is 2678759543460.

Find LCM of 844,777,858,145,985 with Prime Factorization


2 844, 777, 858, 145, 985
3 422, 777, 429, 145, 985
5 422, 259, 143, 145, 985
422, 259, 143, 29, 197

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

2 x 3 x 5 x 422 x 259 x 143 x 29 x 197 = 2678759543460

Therefore, the lowest common multiple of 844,777,858,145,985 is 2678759543460.

LCM Formula to Find Lowest Common Multiple of 844,777,858,145,985

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.

844 x 777 x 858 x 145 x 985 = 80362786303800

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.

844 : 1, 2, 4, 211, 422, 844

777 : 1, 3, 7, 21, 37, 111, 259, 777

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

145 : 1, 5, 29, 145

985 : 1, 5, 197, 985

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,777,858,145,985, is 1.

Now, the common factors can be found like this.

844:2x 2x 211

777:3x 7x 37

858:2x 3x 11x 13

145:5x 29

985:5x 197

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

2x 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 80362786303800/(1x30)

LCM = 80362786303800/30

LCM = 2678759543460

Thus, we can understand that the LCM of 844,777,858,145,985 is 2678759543460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 844, 777, 858, 145, 985

1. What is the LCM of 844, 777, 858, 145, 985?

Answer: LCM of 844, 777, 858, 145, 985 is 2678759543460.

2. How to calculate the LCM of 844, 777, 858, 145, 985?

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 844, 777, 858, 145, 985.

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}.