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LCM of 556, 985, 797, 856

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


Find the LCM of 556, 985, 797, 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 556, 985, 797, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 556,985,797,856

Given numbers are 556,985,797,856

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

The LCM of 556,985,797,856 is 93407794280.

Find LCM of 556,985,797,856 with Prime Factorization


2 556, 985, 797, 856
2 278, 985, 797, 428
139, 985, 797, 214

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

2 x 2 x 139 x 985 x 797 x 214 = 93407794280

Therefore, the lowest common multiple of 556,985,797,856 is 93407794280.

LCM Formula to Find Lowest Common Multiple of 556,985,797,856

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.

556 x 985 x 797 x 856 = 373631177120

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.

556 : 1, 2, 4, 139, 278, 556

985 : 1, 5, 197, 985

797 : 1, 797

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 556,985,797,856, is 1.

Now, the common factors can be found like this.

556:2x 2x 139

985:5x 197

797:797

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 2 = 4

Therefore, the value for common factors is 4.

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 = 373631177120/(1x4)

LCM = 373631177120/4

LCM = 93407794280

Thus, we can understand that the LCM of 556,985,797,856 is 93407794280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 556, 985, 797, 856

1. What is the LCM of 556, 985, 797, 856?

Answer: LCM of 556, 985, 797, 856 is 93407794280.

2. How to calculate the LCM of 556, 985, 797, 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 556, 985, 797, 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}.