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 806, 354, 658, 372, 809

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


Find the LCM of 806, 354, 658, 372, 809 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 806, 354, 658, 372, 809. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 806,354,658,372,809

Given numbers are 806,354,658,372,809

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

The LCM of 806,354,658,372,809 is 75942121164.

Find LCM of 806,354,658,372,809 with Prime Factorization


2 806, 354, 658, 372, 809
3 403, 177, 329, 186, 809
31 403, 59, 329, 62, 809
13, 59, 329, 2, 809

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

2 x 3 x 31 x 13 x 59 x 329 x 2 x 809 = 75942121164

Therefore, the lowest common multiple of 806,354,658,372,809 is 75942121164.

LCM Formula to Find Lowest Common Multiple of 806,354,658,372,809

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.

806 x 354 x 658 x 372 x 809 = 56500938146016

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.

806 : 1, 2, 13, 26, 31, 62, 403, 806

354 : 1, 2, 3, 6, 59, 118, 177, 354

658 : 1, 2, 7, 14, 47, 94, 329, 658

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

809 : 1, 809

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,354,658,372,809, is 1.

Now, the common factors can be found like this.

806:2x 13x 31

354:2x 3x 59

658:2x 7x 47

372:2x 2x 3x 31

809:809

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 3x 31 = 744

Therefore, the value for common factors is 744.

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 = 56500938146016/(1x744)

LCM = 56500938146016/744

LCM = 75942121164

Thus, we can understand that the LCM of 806,354,658,372,809 is 75942121164.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 806, 354, 658, 372, 809

1. What is the LCM of 806, 354, 658, 372, 809?

Answer: LCM of 806, 354, 658, 372, 809 is 75942121164.

2. How to calculate the LCM of 806, 354, 658, 372, 809?

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 806, 354, 658, 372, 809.

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}.