What are the Factors of 1355390400 ?

Factors of 1355390400 are . There are integers that are factors of 1355390400.

How to Find the LCM of 812, 832, 428, 300 ?

Least Common Multiple of 812, 832, 428, 300 = 1355390400 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(812, 832, 428, 300) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 13 x 29 x 107 = 1355390400.

What are the Factors of 1355390400 ?

Factors of 1355390400 are . There are integers that are factors of 1355390400.

How to Find the LCM of 812, 832, 428, 300 ?

Least Common Multiple of 812, 832, 428, 300 = 1355390400 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(812, 832, 428, 300) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 13 x 29 x 107 = 1355390400.

LCM of 812, 832, 428, 300

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

Find the LCM of 812, 832, 428, 300 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 812, 832, 428, 300. So, keep reading to learn more.

Calculate the LCM of 812,832,428,300

Given numbers are 812,832,428,300

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

The LCM of 812,832,428,300 is 1355390400.

Find LCM of 812,832,428,300 with Prime Factorization

2	812, 832, 428, 300
2	406, 416, 214, 150
	203, 208, 107, 75

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

2 x 2 x 203 x 208 x 107 x 75 = 1355390400

Therefore, the lowest common multiple of 812,832,428,300 is 1355390400.

LCM Formula to Find Lowest Common Multiple of 812,832,428,300

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.

812 x 832 x 428 x 300 = 86744985600

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

428 : 1, 2, 4, 107, 214, 428

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,832,428,300, is 4.

Now, the common factors can be found like this.

812:2x 2x 7x 29

832:2x 2x 2x 2x 2x 2x 13

428:2x 2x 107

300:2x 2x 3x 5x 5

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 2 = 16

Therefore, the value for common factors is 16.

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 = 86744985600/(4x16)

LCM = 86744985600/64

LCM = 1355390400

Thus, we can understand that the LCM of 812,832,428,300 is 1355390400.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 812, 832, 428, 300

1. What is the LCM of 812, 832, 428, 300?

Answer: LCM of 812, 832, 428, 300 is 1355390400.

2. How to calculate the LCM of 812, 832, 428, 300?

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 812, 832, 428, 300.

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}.