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LCM of 809, 844, 858, 624

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


Find the LCM of 809, 844, 858, 624 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 809, 844, 858, 624. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 809,844,858,624

Given numbers are 809,844,858,624

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

The LCM of 809,844,858,624 is 1171677936.

Find LCM of 809,844,858,624 with Prime Factorization


2 809, 844, 858, 624
2 809, 422, 429, 312
3 809, 211, 429, 156
13 809, 211, 143, 52
809, 211, 11, 4

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

2 x 2 x 3 x 13 x 809 x 211 x 11 x 4 = 1171677936

Therefore, the lowest common multiple of 809,844,858,624 is 1171677936.

LCM Formula to Find Lowest Common Multiple of 809,844,858,624

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.

809 x 844 x 858 x 624 = 365563516032

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.

809 : 1, 809

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

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,844,858,624, is 1.

Now, the common factors can be found like this.

809:809

844:2x 2x 211

858:2x 3x 11x 13

624:2x 2x 2x 2x 3x 13

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 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 365563516032/(1x312)

LCM = 365563516032/312

LCM = 1171677936

Thus, we can understand that the LCM of 809,844,858,624 is 1171677936.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 809, 844, 858, 624

1. What is the LCM of 809, 844, 858, 624?

Answer: LCM of 809, 844, 858, 624 is 1171677936.

2. How to calculate the LCM of 809, 844, 858, 624?

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 809, 844, 858, 624.

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}.