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, 993, 715, 825

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


Find the LCM of 643, 993, 715, 825 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, 993, 715, 825. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 643,993,715,825

Given numbers are 643,993,715,825

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

The LCM of 643,993,715,825 is 2282633925.

Find LCM of 643,993,715,825 with Prime Factorization


3 643, 993, 715, 825
5 643, 331, 715, 275
11 643, 331, 143, 55
643, 331, 13, 5

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

3 x 5 x 11 x 643 x 331 x 13 x 5 = 2282633925

Therefore, the lowest common multiple of 643,993,715,825 is 2282633925.

LCM Formula to Find Lowest Common Multiple of 643,993,715,825

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 993 x 715 x 825 = 376634597625

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

993 : 1, 3, 331, 993

715 : 1, 5, 11, 13, 55, 65, 143, 715

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,993,715,825, is 1.

Now, the common factors can be found like this.

643:643

993:3x 331

715:5x 11x 13

825:3x 5x 5x 11

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

3x 5x 11 = 165

Therefore, the value for common factors is 165.

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 = 376634597625/(1x165)

LCM = 376634597625/165

LCM = 2282633925

Thus, we can understand that the LCM of 643,993,715,825 is 2282633925.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 643, 993, 715, 825

1. What is the LCM of 643, 993, 715, 825?

Answer: LCM of 643, 993, 715, 825 is 2282633925.

2. How to calculate the LCM of 643, 993, 715, 825?

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, 993, 715, 825.

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}.