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 800, 863, 309, 638, 349

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


Find the LCM of 800, 863, 309, 638, 349 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 800, 863, 309, 638, 349. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 800,863,309,638,349

Given numbers are 800,863,309,638,349

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

The LCM of 800,863,309,638,349 is 23750643021600.

Find LCM of 800,863,309,638,349 with Prime Factorization


2 800, 863, 309, 638, 349
400, 863, 309, 319, 349

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

2 x 400 x 863 x 309 x 319 x 349 = 23750643021600

Therefore, the lowest common multiple of 800,863,309,638,349 is 23750643021600.

LCM Formula to Find Lowest Common Multiple of 800,863,309,638,349

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.

800 x 863 x 309 x 638 x 349 = 47501286043200

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.

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

863 : 1, 863

309 : 1, 3, 103, 309

638 : 1, 2, 11, 22, 29, 58, 319, 638

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,863,309,638,349, is 1.

Now, the common factors can be found like this.

800:2x 2x 2x 2x 2x 5x 5

863:863

309:3x 103

638:2x 11x 29

349:349

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

2 = 2

Therefore, the value for common factors is 2.

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 = 47501286043200/(1x2)

LCM = 47501286043200/2

LCM = 23750643021600

Thus, we can understand that the LCM of 800,863,309,638,349 is 23750643021600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 800, 863, 309, 638, 349

1. What is the LCM of 800, 863, 309, 638, 349?

Answer: LCM of 800, 863, 309, 638, 349 is 23750643021600.

2. How to calculate the LCM of 800, 863, 309, 638, 349?

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 800, 863, 309, 638, 349.

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}.