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LCM of 896, 793, 856, 856

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


Find the LCM of 896, 793, 856, 856 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 896, 793, 856, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 896,793,856,856

Given numbers are 896,793,856,856

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

The LCM of 896,793,856,856 is 76026496.

Find LCM of 896,793,856,856 with Prime Factorization


2 896, 793, 856, 856
2 448, 793, 428, 428
2 224, 793, 214, 214
107 112, 793, 107, 107
112, 793, 1, 1

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

2 x 2 x 2 x 107 x 112 x 793 x 1 x 1 = 76026496

Therefore, the lowest common multiple of 896,793,856,856 is 76026496.

LCM Formula to Find Lowest Common Multiple of 896,793,856,856

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.

896 x 793 x 856 x 856 = 520629444608

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.

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

793 : 1, 13, 61, 793

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,793,856,856, is 1.

Now, the common factors can be found like this.

896:2x 2x 2x 2x 2x 2x 2x 7

793:13x 61

856:2x 2x 2x 107

856:2x 2x 2x 107

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 107 = 6848

Therefore, the value for common factors is 6848.

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 = 520629444608/(1x6848)

LCM = 520629444608/6848

LCM = 76026496

Thus, we can understand that the LCM of 896,793,856,856 is 76026496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 896, 793, 856, 856

1. What is the LCM of 896, 793, 856, 856?

Answer: LCM of 896, 793, 856, 856 is 76026496.

2. How to calculate the LCM of 896, 793, 856, 856?

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 896, 793, 856, 856.

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}.