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 426, 431, 798, 389

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


Find the LCM of 426, 431, 798, 389 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 426, 431, 798, 389. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 426,431,798,389

Given numbers are 426,431,798,389

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

The LCM of 426,431,798,389 is 9499223622.

Find LCM of 426,431,798,389 with Prime Factorization


2 426, 431, 798, 389
3 213, 431, 399, 389
71, 431, 133, 389

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

2 x 3 x 71 x 431 x 133 x 389 = 9499223622

Therefore, the lowest common multiple of 426,431,798,389 is 9499223622.

LCM Formula to Find Lowest Common Multiple of 426,431,798,389

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.

426 x 431 x 798 x 389 = 56995341732

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

431 : 1, 431

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,431,798,389, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

431:431

798:2x 3x 7x 19

389:389

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 56995341732/(1x6)

LCM = 56995341732/6

LCM = 9499223622

Thus, we can understand that the LCM of 426,431,798,389 is 9499223622.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 426, 431, 798, 389

1. What is the LCM of 426, 431, 798, 389?

Answer: LCM of 426, 431, 798, 389 is 9499223622.

2. How to calculate the LCM of 426, 431, 798, 389?

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 426, 431, 798, 389.

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}.