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LCM of 804, 776, 873, 800

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


Find the LCM of 804, 776, 873, 800 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 804, 776, 873, 800. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 804,776,873,800

Given numbers are 804,776,873,800

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

The LCM of 804,776,873,800 is 46792800.

Find LCM of 804,776,873,800 with Prime Factorization


2 804, 776, 873, 800
2 402, 388, 873, 400
2 201, 194, 873, 200
3 201, 97, 873, 100
97 67, 97, 291, 100
67, 1, 3, 100

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

2 x 2 x 2 x 3 x 97 x 67 x 1 x 3 x 100 = 46792800

Therefore, the lowest common multiple of 804,776,873,800 is 46792800.

LCM Formula to Find Lowest Common Multiple of 804,776,873,800

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.

804 x 776 x 873 x 800 = 435734553600

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

776 : 1, 2, 4, 8, 97, 194, 388, 776

873 : 1, 3, 9, 97, 291, 873

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,776,873,800, is 1.

Now, the common factors can be found like this.

804:2x 2x 3x 67

776:2x 2x 2x 97

873:3x 3x 97

800:2x 2x 2x 2x 2x 5x 5

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 2x 2x 3x 97 = 9312

Therefore, the value for common factors is 9312.

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 = 435734553600/(1x9312)

LCM = 435734553600/9312

LCM = 46792800

Thus, we can understand that the LCM of 804,776,873,800 is 46792800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 804, 776, 873, 800

1. What is the LCM of 804, 776, 873, 800?

Answer: LCM of 804, 776, 873, 800 is 46792800.

2. How to calculate the LCM of 804, 776, 873, 800?

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 804, 776, 873, 800.

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}.