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, 145, 843, 834, 628

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


Find the LCM of 422, 145, 843, 834, 628 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, 145, 843, 834, 628. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,145,843,834,628

Given numbers are 422,145,843,834,628

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

The LCM of 422,145,843,834,628 is 2251399037820.

Find LCM of 422,145,843,834,628 with Prime Factorization


2 422, 145, 843, 834, 628
3 211, 145, 843, 417, 314
211, 145, 281, 139, 314

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

2 x 3 x 211 x 145 x 281 x 139 x 314 = 2251399037820

Therefore, the lowest common multiple of 422,145,843,834,628 is 2251399037820.

LCM Formula to Find Lowest Common Multiple of 422,145,843,834,628

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 145 x 843 x 834 x 628 = 27016788453840

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

145 : 1, 5, 29, 145

843 : 1, 3, 281, 843

834 : 1, 2, 3, 6, 139, 278, 417, 834

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,145,843,834,628, is 1.

Now, the common factors can be found like this.

422:2x 211

145:5x 29

843:3x 281

834:2x 3x 139

628:2x 2x 157

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 3 = 12

Therefore, the value for common factors is 12.

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 = 27016788453840/(1x12)

LCM = 27016788453840/12

LCM = 2251399037820

Thus, we can understand that the LCM of 422,145,843,834,628 is 2251399037820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 145, 843, 834, 628

1. What is the LCM of 422, 145, 843, 834, 628?

Answer: LCM of 422, 145, 843, 834, 628 is 2251399037820.

2. How to calculate the LCM of 422, 145, 843, 834, 628?

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, 145, 843, 834, 628.

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}.