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LCM of 868, 759, 819, 715

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


Find the LCM of 868, 759, 819, 715 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 868, 759, 819, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 868,759,819,715

Given numbers are 868,759,819,715

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

The LCM of 868,759,819,715 is 128468340.

Find LCM of 868,759,819,715 with Prime Factorization


3 868, 759, 819, 715
7 868, 253, 273, 715
11 124, 253, 39, 715
13 124, 23, 39, 65
124, 23, 3, 5

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

3 x 7 x 11 x 13 x 124 x 23 x 3 x 5 = 128468340

Therefore, the lowest common multiple of 868,759,819,715 is 128468340.

LCM Formula to Find Lowest Common Multiple of 868,759,819,715

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.

868 x 759 x 819 x 715 = 385790425020

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.

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,759,819,715, is 1.

Now, the common factors can be found like this.

868:2x 2x 7x 31

759:3x 11x 23

819:3x 3x 7x 13

715:5x 11x 13

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

3x 7x 11x 13 = 3003

Therefore, the value for common factors is 3003.

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 = 385790425020/(1x3003)

LCM = 385790425020/3003

LCM = 128468340

Thus, we can understand that the LCM of 868,759,819,715 is 128468340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 868, 759, 819, 715

1. What is the LCM of 868, 759, 819, 715?

Answer: LCM of 868, 759, 819, 715 is 128468340.

2. How to calculate the LCM of 868, 759, 819, 715?

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 868, 759, 819, 715.

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}.