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LCM of 831, 913, 166, 595, 128

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


Find the LCM of 831, 913, 166, 595, 128 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 831, 913, 166, 595, 128. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,913,166,595,128

Given numbers are 831,913,166,595,128

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

The LCM of 831,913,166,595,128 is 57782820480.

Find LCM of 831,913,166,595,128 with Prime Factorization


2 831, 913, 166, 595, 128
83 831, 913, 83, 595, 64
831, 11, 1, 595, 64

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

2 x 83 x 831 x 11 x 1 x 595 x 64 = 57782820480

Therefore, the lowest common multiple of 831,913,166,595,128 is 57782820480.

LCM Formula to Find Lowest Common Multiple of 831,913,166,595,128

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.

831 x 913 x 166 x 595 x 128 = 9591948199680

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.

831 : 1, 3, 277, 831

913 : 1, 11, 83, 913

166 : 1, 2, 83, 166

595 : 1, 5, 7, 17, 35, 85, 119, 595

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,913,166,595,128, is 1.

Now, the common factors can be found like this.

831:3x 277

913:11x 83

166:2x 83

595:5x 7x 17

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

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

2x 83 = 166

Therefore, the value for common factors is 166.

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 = 9591948199680/(1x166)

LCM = 9591948199680/166

LCM = 57782820480

Thus, we can understand that the LCM of 831,913,166,595,128 is 57782820480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 913, 166, 595, 128

1. What is the LCM of 831, 913, 166, 595, 128?

Answer: LCM of 831, 913, 166, 595, 128 is 57782820480.

2. How to calculate the LCM of 831, 913, 166, 595, 128?

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 831, 913, 166, 595, 128.

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}.