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LCM of 812, 437, 810, 966

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


Find the LCM of 812, 437, 810, 966 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 812, 437, 810, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,437,810,966

Given numbers are 812,437,810,966

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

The LCM of 812,437,810,966 is 143711820.

Find LCM of 812,437,810,966 with Prime Factorization


2 812, 437, 810, 966
3 406, 437, 405, 483
7 406, 437, 135, 161
23 58, 437, 135, 23
58, 19, 135, 1

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

2 x 3 x 7 x 23 x 58 x 19 x 135 x 1 = 143711820

Therefore, the lowest common multiple of 812,437,810,966 is 143711820.

LCM Formula to Find Lowest Common Multiple of 812,437,810,966

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.

812 x 437 x 810 x 966 = 277651236240

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.

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

437 : 1, 19, 23, 437

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,437,810,966, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

437:19x 23

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

966:2x 3x 7x 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 2x 3x 7x 23 = 1932

Therefore, the value for common factors is 1932.

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 = 277651236240/(1x1932)

LCM = 277651236240/1932

LCM = 143711820

Thus, we can understand that the LCM of 812,437,810,966 is 143711820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 437, 810, 966

1. What is the LCM of 812, 437, 810, 966?

Answer: LCM of 812, 437, 810, 966 is 143711820.

2. How to calculate the LCM of 812, 437, 810, 966?

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 812, 437, 810, 966.

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}.