What are the Factors of 10046914800 ?

Factors of 10046914800 are . There are integers that are factors of 10046914800.

How to Find the LCM of 463, 400, 507, 214 ?

Least Common Multiple of 463, 400, 507, 214 = 10046914800 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(463, 400, 507, 214) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 13 x 107 x 463 = 10046914800.

What are the Factors of 10046914800 ?

Factors of 10046914800 are . There are integers that are factors of 10046914800.

How to Find the LCM of 463, 400, 507, 214 ?

Least Common Multiple of 463, 400, 507, 214 = 10046914800 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(463, 400, 507, 214) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 13 x 107 x 463 = 10046914800.

LCM of 463, 400, 507, 214

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

Find the LCM of 463, 400, 507, 214 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 463, 400, 507, 214. So, keep reading to learn more.

Calculate the LCM of 463,400,507,214

Given numbers are 463,400,507,214

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

The LCM of 463,400,507,214 is 10046914800.

Find LCM of 463,400,507,214 with Prime Factorization

2	463, 400, 507, 214
	463, 200, 507, 107

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

2 x 463 x 200 x 507 x 107 = 10046914800

Therefore, the lowest common multiple of 463,400,507,214 is 10046914800.

LCM Formula to Find Lowest Common Multiple of 463,400,507,214

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.

463 x 400 x 507 x 214 = 20093829600

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.

463 : 1, 463

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

507 : 1, 3, 13, 39, 169, 507

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,400,507,214, is 1.

Now, the common factors can be found like this.

463:463

400:2x 2x 2x 2x 5x 5

507:3x 13x 13

214:2x 107

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 = 20093829600/(1x2)

LCM = 20093829600/2

LCM = 10046914800

Thus, we can understand that the LCM of 463,400,507,214 is 10046914800.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 463, 400, 507, 214

1. What is the LCM of 463, 400, 507, 214?

Answer: LCM of 463, 400, 507, 214 is 10046914800.

2. How to calculate the LCM of 463, 400, 507, 214?

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 463, 400, 507, 214.

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}.