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LCM of 575, 810, 812, 667, 163

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


Find the LCM of 575, 810, 812, 667, 163 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 575, 810, 812, 667, 163. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,810,812,667,163

Given numbers are 575,810,812,667,163

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

The LCM of 575,810,812,667,163 is 6164480700.

Find LCM of 575,810,812,667,163 with Prime Factorization


2 575, 810, 812, 667, 163
5 575, 405, 406, 667, 163
23 115, 81, 406, 667, 163
29 5, 81, 406, 29, 163
5, 81, 14, 1, 163

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

2 x 5 x 23 x 29 x 5 x 81 x 14 x 1 x 163 = 6164480700

Therefore, the lowest common multiple of 575,810,812,667,163 is 6164480700.

LCM Formula to Find Lowest Common Multiple of 575,810,812,667,163

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.

575 x 810 x 812 x 667 x 163 = 41117086269000

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.

575 : 1, 5, 23, 25, 115, 575

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

667 : 1, 23, 29, 667

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,810,812,667,163, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

810:2x 3x 3x 3x 3x 5

812:2x 2x 7x 29

667:23x 29

163:163

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 23x 29 = 6670

Therefore, the value for common factors is 6670.

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 = 41117086269000/(1x6670)

LCM = 41117086269000/6670

LCM = 6164480700

Thus, we can understand that the LCM of 575,810,812,667,163 is 6164480700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 810, 812, 667, 163

1. What is the LCM of 575, 810, 812, 667, 163?

Answer: LCM of 575, 810, 812, 667, 163 is 6164480700.

2. How to calculate the LCM of 575, 810, 812, 667, 163?

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 575, 810, 812, 667, 163.

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}.