What are the Factors of 29129747017200 ?

Factors of 29129747017200 are . There are integers that are factors of 29129747017200.

How to Find the LCM of 313, 978, 974, 977, 400 ?

Least Common Multiple of 313, 978, 974, 977, 400 = 29129747017200 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(313, 978, 974, 977, 400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 163 x 313 x 487 x 977 = 29129747017200.

What are the Factors of 29129747017200 ?

Factors of 29129747017200 are . There are integers that are factors of 29129747017200.

How to Find the LCM of 313, 978, 974, 977, 400 ?

Least Common Multiple of 313, 978, 974, 977, 400 = 29129747017200 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(313, 978, 974, 977, 400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 163 x 313 x 487 x 977 = 29129747017200.

LCM of 313, 978, 974, 977, 400

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

Find the LCM of 313, 978, 974, 977, 400 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 313, 978, 974, 977, 400. So, keep reading to learn more.

Calculate the LCM of 313,978,974,977,400

Given numbers are 313,978,974,977,400

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

The LCM of 313,978,974,977,400 is 29129747017200.

Find LCM of 313,978,974,977,400 with Prime Factorization

2	313, 978, 974, 977, 400
	313, 489, 487, 977, 200

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

2 x 313 x 489 x 487 x 977 x 200 = 29129747017200

Therefore, the lowest common multiple of 313,978,974,977,400 is 29129747017200.

LCM Formula to Find Lowest Common Multiple of 313,978,974,977,400

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.

313 x 978 x 974 x 977 x 400 = 116518988068800

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.

313 : 1, 313

978 : 1, 2, 3, 6, 163, 326, 489, 978

974 : 1, 2, 487, 974

977 : 1, 977

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,978,974,977,400, is 1.

Now, the common factors can be found like this.

313:313

978:2x 3x 163

974:2x 487

977:977

400:2x 2x 2x 2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 116518988068800/(1x4)

LCM = 116518988068800/4

LCM = 29129747017200

Thus, we can understand that the LCM of 313,978,974,977,400 is 29129747017200.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 313, 978, 974, 977, 400

1. What is the LCM of 313, 978, 974, 977, 400?

Answer: LCM of 313, 978, 974, 977, 400 is 29129747017200.

2. How to calculate the LCM of 313, 978, 974, 977, 400?

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 313, 978, 974, 977, 400.

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}.