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LCM of 515, 765, 914, 412

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


Find the LCM of 515, 765, 914, 412 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 515, 765, 914, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,765,914,412

Given numbers are 515,765,914,412

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

The LCM of 515,765,914,412 is 144037260.

Find LCM of 515,765,914,412 with Prime Factorization


2 515, 765, 914, 412
5 515, 765, 457, 206
103 103, 153, 457, 206
1, 153, 457, 2

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

2 x 5 x 103 x 1 x 153 x 457 x 2 = 144037260

Therefore, the lowest common multiple of 515,765,914,412 is 144037260.

LCM Formula to Find Lowest Common Multiple of 515,765,914,412

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.

515 x 765 x 914 x 412 = 148358377800

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.

515 : 1, 5, 103, 515

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

914 : 1, 2, 457, 914

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,765,914,412, is 1.

Now, the common factors can be found like this.

515:5x 103

765:3x 3x 5x 17

914:2x 457

412:2x 2x 103

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

2x 5x 103 = 1030

Therefore, the value for common factors is 1030.

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 = 148358377800/(1x1030)

LCM = 148358377800/1030

LCM = 144037260

Thus, we can understand that the LCM of 515,765,914,412 is 144037260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 765, 914, 412

1. What is the LCM of 515, 765, 914, 412?

Answer: LCM of 515, 765, 914, 412 is 144037260.

2. How to calculate the LCM of 515, 765, 914, 412?

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 515, 765, 914, 412.

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}.