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LCM of 701, 844, 128, 826, 802

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


Find the LCM of 701, 844, 128, 826, 802 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 701, 844, 128, 826, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,844,128,826,802

Given numbers are 701,844,128,826,802

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

The LCM of 701,844,128,826,802 is 3135486008704.

Find LCM of 701,844,128,826,802 with Prime Factorization


2 701, 844, 128, 826, 802
2 701, 422, 64, 413, 401
701, 211, 32, 413, 401

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

2 x 2 x 701 x 211 x 32 x 413 x 401 = 3135486008704

Therefore, the lowest common multiple of 701,844,128,826,802 is 3135486008704.

LCM Formula to Find Lowest Common Multiple of 701,844,128,826,802

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.

701 x 844 x 128 x 826 x 802 = 50167776139264

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.

701 : 1, 701

844 : 1, 2, 4, 211, 422, 844

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,844,128,826,802, is 1.

Now, the common factors can be found like this.

701:701

844:2x 2x 211

128:2x 2x 2x 2x 2x 2x 2

826:2x 7x 59

802:2x 401

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 50167776139264/(1x16)

LCM = 50167776139264/16

LCM = 3135486008704

Thus, we can understand that the LCM of 701,844,128,826,802 is 3135486008704.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 844, 128, 826, 802

1. What is the LCM of 701, 844, 128, 826, 802?

Answer: LCM of 701, 844, 128, 826, 802 is 3135486008704.

2. How to calculate the LCM of 701, 844, 128, 826, 802?

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 701, 844, 128, 826, 802.

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}.