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LCM of 856, 130, 128, 904, 377

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


Find the LCM of 856, 130, 128, 904, 377 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 856, 130, 128, 904, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,130,128,904,377

Given numbers are 856,130,128,904,377

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

The LCM of 856,130,128,904,377 is 2917316480.

Find LCM of 856,130,128,904,377 with Prime Factorization


2 856, 130, 128, 904, 377
2 428, 65, 64, 452, 377
2 214, 65, 32, 226, 377
13 107, 65, 16, 113, 377
107, 5, 16, 113, 29

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

2 x 2 x 2 x 13 x 107 x 5 x 16 x 113 x 29 = 2917316480

Therefore, the lowest common multiple of 856,130,128,904,377 is 2917316480.

LCM Formula to Find Lowest Common Multiple of 856,130,128,904,377

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.

856 x 130 x 128 x 904 x 377 = 4854414622720

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

130 : 1, 2, 5, 10, 13, 26, 65, 130

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

904 : 1, 2, 4, 8, 113, 226, 452, 904

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,130,128,904,377, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

130:2x 5x 13

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

904:2x 2x 2x 113

377:13x 29

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 2x 2x 2x 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 4854414622720/(1x1664)

LCM = 4854414622720/1664

LCM = 2917316480

Thus, we can understand that the LCM of 856,130,128,904,377 is 2917316480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 130, 128, 904, 377

1. What is the LCM of 856, 130, 128, 904, 377?

Answer: LCM of 856, 130, 128, 904, 377 is 2917316480.

2. How to calculate the LCM of 856, 130, 128, 904, 377?

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 856, 130, 128, 904, 377.

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}.