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LCM of 966, 364, 622, 798

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


Find the LCM of 966, 364, 622, 798 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 966, 364, 622, 798. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 966,364,622,798

Given numbers are 966,364,622,798

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

The LCM of 966,364,622,798 is 148410444.

Find LCM of 966,364,622,798 with Prime Factorization


2 966, 364, 622, 798
3 483, 182, 311, 399
7 161, 182, 311, 133
23, 26, 311, 19

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

2 x 3 x 7 x 23 x 26 x 311 x 19 = 148410444

Therefore, the lowest common multiple of 966,364,622,798 is 148410444.

LCM Formula to Find Lowest Common Multiple of 966,364,622,798

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.

966 x 364 x 622 x 798 = 174530682144

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.

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

622 : 1, 2, 311, 622

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,364,622,798, is 2.

Now, the common factors can be found like this.

966:2x 3x 7x 23

364:2x 2x 7x 13

622:2x 311

798:2x 3x 7x 19

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 7 = 588

Therefore, the value for common factors is 588.

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 = 174530682144/(2x588)

LCM = 174530682144/1176

LCM = 148410444

Thus, we can understand that the LCM of 966,364,622,798 is 148410444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 966, 364, 622, 798

1. What is the LCM of 966, 364, 622, 798?

Answer: LCM of 966, 364, 622, 798 is 148410444.

2. How to calculate the LCM of 966, 364, 622, 798?

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 966, 364, 622, 798.

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}.