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LCM of 765, 870, 568, 627, 115

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


Find the LCM of 765, 870, 568, 627, 115 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 765, 870, 568, 627, 115. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,870,568,627,115

Given numbers are 765,870,568,627,115

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

The LCM of 765,870,568,627,115 is 60573391560.

Find LCM of 765,870,568,627,115 with Prime Factorization


2 765, 870, 568, 627, 115
3 765, 435, 284, 627, 115
5 255, 145, 284, 209, 115
51, 29, 284, 209, 23

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

2 x 3 x 5 x 51 x 29 x 284 x 209 x 23 = 60573391560

Therefore, the lowest common multiple of 765,870,568,627,115 is 60573391560.

LCM Formula to Find Lowest Common Multiple of 765,870,568,627,115

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.

765 x 870 x 568 x 627 x 115 = 27258026202000

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.

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

568 : 1, 2, 4, 8, 71, 142, 284, 568

627 : 1, 3, 11, 19, 33, 57, 209, 627

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,870,568,627,115, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

870:2x 3x 5x 29

568:2x 2x 2x 71

627:3x 11x 19

115:5x 23

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 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 27258026202000/(1x450)

LCM = 27258026202000/450

LCM = 60573391560

Thus, we can understand that the LCM of 765,870,568,627,115 is 60573391560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 765, 870, 568, 627, 115

1. What is the LCM of 765, 870, 568, 627, 115?

Answer: LCM of 765, 870, 568, 627, 115 is 60573391560.

2. How to calculate the LCM of 765, 870, 568, 627, 115?

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 765, 870, 568, 627, 115.

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}.