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LCM of 770, 856, 191, 671

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


Find the LCM of 770, 856, 191, 671 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 770, 856, 191, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,856,191,671

Given numbers are 770,856,191,671

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

The LCM of 770,856,191,671 is 3839703560.

Find LCM of 770,856,191,671 with Prime Factorization


2 770, 856, 191, 671
11 385, 428, 191, 671
35, 428, 191, 61

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

2 x 11 x 35 x 428 x 191 x 61 = 3839703560

Therefore, the lowest common multiple of 770,856,191,671 is 3839703560.

LCM Formula to Find Lowest Common Multiple of 770,856,191,671

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.

770 x 856 x 191 x 671 = 84473478320

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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

191 : 1, 191

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,856,191,671, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

856:2x 2x 2x 107

191:191

671:11x 61

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 84473478320/(1x22)

LCM = 84473478320/22

LCM = 3839703560

Thus, we can understand that the LCM of 770,856,191,671 is 3839703560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 856, 191, 671

1. What is the LCM of 770, 856, 191, 671?

Answer: LCM of 770, 856, 191, 671 is 3839703560.

2. How to calculate the LCM of 770, 856, 191, 671?

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 770, 856, 191, 671.

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}.