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LCM of 826, 875, 898, 363, 106

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


Find the LCM of 826, 875, 898, 363, 106 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 826, 875, 898, 363, 106. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 826,875,898,363,106

Given numbers are 826,875,898,363,106

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

The LCM of 826,875,898,363,106 is 891905610750.

Find LCM of 826,875,898,363,106 with Prime Factorization


2 826, 875, 898, 363, 106
7 413, 875, 449, 363, 53
59, 125, 449, 363, 53

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

2 x 7 x 59 x 125 x 449 x 363 x 53 = 891905610750

Therefore, the lowest common multiple of 826,875,898,363,106 is 891905610750.

LCM Formula to Find Lowest Common Multiple of 826,875,898,363,106

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.

826 x 875 x 898 x 363 x 106 = 24973357101000

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

875 : 1, 5, 7, 25, 35, 125, 175, 875

898 : 1, 2, 449, 898

363 : 1, 3, 11, 33, 121, 363

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,875,898,363,106, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

875:5x 5x 5x 7

898:2x 449

363:3x 11x 11

106:2x 53

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 7 = 28

Therefore, the value for common factors is 28.

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 = 24973357101000/(1x28)

LCM = 24973357101000/28

LCM = 891905610750

Thus, we can understand that the LCM of 826,875,898,363,106 is 891905610750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 826, 875, 898, 363, 106

1. What is the LCM of 826, 875, 898, 363, 106?

Answer: LCM of 826, 875, 898, 363, 106 is 891905610750.

2. How to calculate the LCM of 826, 875, 898, 363, 106?

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 826, 875, 898, 363, 106.

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}.