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 643, 214, 643, 583, 829

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


Find the LCM of 643, 214, 643, 583, 829 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 643, 214, 643, 583, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 643,214,643,583,829

Given numbers are 643,214,643,583,829

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

The LCM of 643,214,643,583,829 is 66504009814.

Find LCM of 643,214,643,583,829 with Prime Factorization


643 643, 214, 643, 583, 829
1, 214, 1, 583, 829

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

643 x 1 x 214 x 1 x 583 x 829 = 66504009814

Therefore, the lowest common multiple of 643,214,643,583,829 is 66504009814.

LCM Formula to Find Lowest Common Multiple of 643,214,643,583,829

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.

643 x 214 x 643 x 583 x 829 = 42762078310402

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.

643 : 1, 643

214 : 1, 2, 107, 214

643 : 1, 643

583 : 1, 11, 53, 583

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,214,643,583,829, is 1.

Now, the common factors can be found like this.

643:643

214:2x 107

643:643

583:11x 53

829:829

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

643 = 643

Therefore, the value for common factors is 643.

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 = 42762078310402/(1x643)

LCM = 42762078310402/643

LCM = 66504009814

Thus, we can understand that the LCM of 643,214,643,583,829 is 66504009814.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 643, 214, 643, 583, 829

1. What is the LCM of 643, 214, 643, 583, 829?

Answer: LCM of 643, 214, 643, 583, 829 is 66504009814.

2. How to calculate the LCM of 643, 214, 643, 583, 829?

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 643, 214, 643, 583, 829.

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}.