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LCM of 810, 638, 253, 870

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


Find the LCM of 810, 638, 253, 870 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, 638, 253, 870. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 810,638,253,870

Given numbers are 810,638,253,870

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

The LCM of 810,638,253,870 is 5942970.

Find LCM of 810,638,253,870 with Prime Factorization


2 810, 638, 253, 870
3 405, 319, 253, 435
5 135, 319, 253, 145
11 27, 319, 253, 29
29 27, 29, 23, 29
27, 1, 23, 1

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

2 x 3 x 5 x 11 x 29 x 27 x 1 x 23 x 1 = 5942970

Therefore, the lowest common multiple of 810,638,253,870 is 5942970.

LCM Formula to Find Lowest Common Multiple of 810,638,253,870

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 638 x 253 x 870 = 113748445800

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

253 : 1, 11, 23, 253

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,638,253,870, is 1.

Now, the common factors can be found like this.

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

638:2x 11x 29

253:11x 23

870:2x 3x 5x 29

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 3x 5x 11x 29 = 19140

Therefore, the value for common factors is 19140.

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 = 113748445800/(1x19140)

LCM = 113748445800/19140

LCM = 5942970

Thus, we can understand that the LCM of 810,638,253,870 is 5942970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 810, 638, 253, 870

1. What is the LCM of 810, 638, 253, 870?

Answer: LCM of 810, 638, 253, 870 is 5942970.

2. How to calculate the LCM of 810, 638, 253, 870?

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, 638, 253, 870.

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}.