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LCM of 810, 465, 493, 413

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


Find the LCM of 810, 465, 493, 413 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 810, 465, 493, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 810,465,493,413

Given numbers are 810,465,493,413

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

The LCM of 810,465,493,413 is 5112621990.

Find LCM of 810,465,493,413 with Prime Factorization


3 810, 465, 493, 413
5 270, 155, 493, 413
54, 31, 493, 413

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

3 x 5 x 54 x 31 x 493 x 413 = 5112621990

Therefore, the lowest common multiple of 810,465,493,413 is 5112621990.

LCM Formula to Find Lowest Common Multiple of 810,465,493,413

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.

810 x 465 x 493 x 413 = 76689329850

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.

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

465 : 1, 3, 5, 15, 31, 93, 155, 465

493 : 1, 17, 29, 493

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,465,493,413, is 1.

Now, the common factors can be found like this.

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

465:3x 5x 31

493:17x 29

413:7x 59

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 76689329850/(1x15)

LCM = 76689329850/15

LCM = 5112621990

Thus, we can understand that the LCM of 810,465,493,413 is 5112621990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 810, 465, 493, 413

1. What is the LCM of 810, 465, 493, 413?

Answer: LCM of 810, 465, 493, 413 is 5112621990.

2. How to calculate the LCM of 810, 465, 493, 413?

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 810, 465, 493, 413.

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}.