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LCM of 843, 810, 753, 828

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


Find the LCM of 843, 810, 753, 828 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 843, 810, 753, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 843,810,753,828

Given numbers are 843,810,753,828

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

The LCM of 843,810,753,828 is 2627985060.

Find LCM of 843,810,753,828 with Prime Factorization


2 843, 810, 753, 828
3 843, 405, 753, 414
3 281, 135, 251, 138
281, 45, 251, 46

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

2 x 3 x 3 x 281 x 45 x 251 x 46 = 2627985060

Therefore, the lowest common multiple of 843,810,753,828 is 2627985060.

LCM Formula to Find Lowest Common Multiple of 843,810,753,828

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.

843 x 810 x 753 x 828 = 425733579720

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.

843 : 1, 3, 281, 843

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

753 : 1, 3, 251, 753

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,810,753,828, is 3.

Now, the common factors can be found like this.

843:3x 281

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

753:3x 251

828:2x 2x 3x 3x 23

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 425733579720/(3x54)

LCM = 425733579720/162

LCM = 2627985060

Thus, we can understand that the LCM of 843,810,753,828 is 2627985060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 843, 810, 753, 828

1. What is the LCM of 843, 810, 753, 828?

Answer: LCM of 843, 810, 753, 828 is 2627985060.

2. How to calculate the LCM of 843, 810, 753, 828?

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 843, 810, 753, 828.

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}.