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LCM of 894, 801, 638, 787, 629

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


Find the LCM of 894, 801, 638, 787, 629 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 894, 801, 638, 787, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 894,801,638,787,629

Given numbers are 894,801,638,787,629

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

The LCM of 894,801,638,787,629 is 37693359017226.

Find LCM of 894,801,638,787,629 with Prime Factorization


2 894, 801, 638, 787, 629
3 447, 801, 319, 787, 629
149, 267, 319, 787, 629

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

2 x 3 x 149 x 267 x 319 x 787 x 629 = 37693359017226

Therefore, the lowest common multiple of 894,801,638,787,629 is 37693359017226.

LCM Formula to Find Lowest Common Multiple of 894,801,638,787,629

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.

894 x 801 x 638 x 787 x 629 = 226160154103356

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

801 : 1, 3, 9, 89, 267, 801

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

787 : 1, 787

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,801,638,787,629, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

801:3x 3x 89

638:2x 11x 29

787:787

629:17x 37

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 226160154103356/(1x6)

LCM = 226160154103356/6

LCM = 37693359017226

Thus, we can understand that the LCM of 894,801,638,787,629 is 37693359017226.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 894, 801, 638, 787, 629

1. What is the LCM of 894, 801, 638, 787, 629?

Answer: LCM of 894, 801, 638, 787, 629 is 37693359017226.

2. How to calculate the LCM of 894, 801, 638, 787, 629?

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 894, 801, 638, 787, 629.

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}.