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LCM of 856, 354, 791, 622

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


Find the LCM of 856, 354, 791, 622 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, 354, 791, 622. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,354,791,622

Given numbers are 856,354,791,622

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

The LCM of 856,354,791,622 is 37272103512.

Find LCM of 856,354,791,622 with Prime Factorization


2 856, 354, 791, 622
428, 177, 791, 311

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

2 x 428 x 177 x 791 x 311 = 37272103512

Therefore, the lowest common multiple of 856,354,791,622 is 37272103512.

LCM Formula to Find Lowest Common Multiple of 856,354,791,622

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 354 x 791 x 622 = 149088414048

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

791 : 1, 7, 113, 791

622 : 1, 2, 311, 622

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,354,791,622, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

354:2x 3x 59

791:7x 113

622:2x 311

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 = 149088414048/(1x4)

LCM = 149088414048/4

LCM = 37272103512

Thus, we can understand that the LCM of 856,354,791,622 is 37272103512.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 354, 791, 622

1. What is the LCM of 856, 354, 791, 622?

Answer: LCM of 856, 354, 791, 622 is 37272103512.

2. How to calculate the LCM of 856, 354, 791, 622?

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, 354, 791, 622.

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}.