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LCM of 759, 608, 798, 865

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


Find the LCM of 759, 608, 798, 865 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 759, 608, 798, 865. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 759,608,798,865

Given numbers are 759,608,798,865

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

The LCM of 759,608,798,865 is 2794212960.

Find LCM of 759,608,798,865 with Prime Factorization


2 759, 608, 798, 865
3 759, 304, 399, 865
19 253, 304, 133, 865
253, 16, 7, 865

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

2 x 3 x 19 x 253 x 16 x 7 x 865 = 2794212960

Therefore, the lowest common multiple of 759,608,798,865 is 2794212960.

LCM Formula to Find Lowest Common Multiple of 759,608,798,865

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.

759 x 608 x 798 x 865 = 318540277440

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,608,798,865, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

608:2x 2x 2x 2x 2x 19

798:2x 3x 7x 19

865:5x 173

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 19 = 114

Therefore, the value for common factors is 114.

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 = 318540277440/(1x114)

LCM = 318540277440/114

LCM = 2794212960

Thus, we can understand that the LCM of 759,608,798,865 is 2794212960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 759, 608, 798, 865

1. What is the LCM of 759, 608, 798, 865?

Answer: LCM of 759, 608, 798, 865 is 2794212960.

2. How to calculate the LCM of 759, 608, 798, 865?

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 759, 608, 798, 865.

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}.