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LCM of 599, 412, 308, 515

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


Find the LCM of 599, 412, 308, 515 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 599, 412, 308, 515. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 599,412,308,515

Given numbers are 599,412,308,515

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

The LCM of 599,412,308,515 is 95013380.

Find LCM of 599,412,308,515 with Prime Factorization


2 599, 412, 308, 515
2 599, 206, 154, 515
103 599, 103, 77, 515
599, 1, 77, 5

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

2 x 2 x 103 x 599 x 1 x 77 x 5 = 95013380

Therefore, the lowest common multiple of 599,412,308,515 is 95013380.

LCM Formula to Find Lowest Common Multiple of 599,412,308,515

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.

599 x 412 x 308 x 515 = 39145512560

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.

599 : 1, 599

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

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,412,308,515, is 1.

Now, the common factors can be found like this.

599:599

412:2x 2x 103

308:2x 2x 7x 11

515:5x 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 2x 103 = 412

Therefore, the value for common factors is 412.

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 = 39145512560/(1x412)

LCM = 39145512560/412

LCM = 95013380

Thus, we can understand that the LCM of 599,412,308,515 is 95013380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 599, 412, 308, 515

1. What is the LCM of 599, 412, 308, 515?

Answer: LCM of 599, 412, 308, 515 is 95013380.

2. How to calculate the LCM of 599, 412, 308, 515?

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 599, 412, 308, 515.

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}.