LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 422, 391, 858, 484, 814

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


Find the LCM of 422, 391, 858, 484, 814 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 422, 391, 858, 484, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,391,858,484,814

Given numbers are 422,391,858,484,814

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

The LCM of 422,391,858,484,814 is 57619688412.

Find LCM of 422,391,858,484,814 with Prime Factorization


2 422, 391, 858, 484, 814
11 211, 391, 429, 242, 407
211, 391, 39, 22, 37

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

2 x 11 x 211 x 391 x 39 x 22 x 37 = 57619688412

Therefore, the lowest common multiple of 422,391,858,484,814 is 57619688412.

LCM Formula to Find Lowest Common Multiple of 422,391,858,484,814

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.

422 x 391 x 858 x 484 x 814 = 55775858382816

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.

422 : 1, 2, 211, 422

391 : 1, 17, 23, 391

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,391,858,484,814, is 1.

Now, the common factors can be found like this.

422:2x 211

391:17x 23

858:2x 3x 11x 13

484:2x 2x 11x 11

814:2x 11x 37

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 55775858382816/(1x968)

LCM = 55775858382816/968

LCM = 57619688412

Thus, we can understand that the LCM of 422,391,858,484,814 is 57619688412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 391, 858, 484, 814

1. What is the LCM of 422, 391, 858, 484, 814?

Answer: LCM of 422, 391, 858, 484, 814 is 57619688412.

2. How to calculate the LCM of 422, 391, 858, 484, 814?

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 422, 391, 858, 484, 814.

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}.