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LCM of 9, 814, 629, 979

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


Find the LCM of 9, 814, 629, 979 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 9, 814, 629, 979. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9,814,629,979

Given numbers are 9,814,629,979

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

The LCM of 9,814,629,979 is 11084238.

Find LCM of 9,814,629,979 with Prime Factorization


11 9, 814, 629, 979
37 9, 74, 629, 89
9, 2, 17, 89

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

11 x 37 x 9 x 2 x 17 x 89 = 11084238

Therefore, the lowest common multiple of 9,814,629,979 is 11084238.

LCM Formula to Find Lowest Common Multiple of 9,814,629,979

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.

9 x 814 x 629 x 979 = 4511284866

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.

9 : 1, 3, 9

814 : 1, 2, 11, 22, 37, 74, 407, 814

629 : 1, 17, 37, 629

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9,814,629,979, is 1.

Now, the common factors can be found like this.

9:3x 3

814:2x 11x 37

629:17x 37

979:11x 89

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

11x 37 = 407

Therefore, the value for common factors is 407.

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 = 4511284866/(1x407)

LCM = 4511284866/407

LCM = 11084238

Thus, we can understand that the LCM of 9,814,629,979 is 11084238.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 9, 814, 629, 979

1. What is the LCM of 9, 814, 629, 979?

Answer: LCM of 9, 814, 629, 979 is 11084238.

2. How to calculate the LCM of 9, 814, 629, 979?

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 9, 814, 629, 979.

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}.