What are the Factors of 9299421257280 ?

Factors of 9299421257280 are . There are integers that are factors of 9299421257280.

How to Find the LCM of 214, 527, 679, 690, 704 ?

Least Common Multiple of 214, 527, 679, 690, 704 = 9299421257280 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(214, 527, 679, 690, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 17 x 23 x 31 x 97 x 107 = 9299421257280.

What are the Factors of 9299421257280 ?

Factors of 9299421257280 are . There are integers that are factors of 9299421257280.

How to Find the LCM of 214, 527, 679, 690, 704 ?

Least Common Multiple of 214, 527, 679, 690, 704 = 9299421257280 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(214, 527, 679, 690, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 17 x 23 x 31 x 97 x 107 = 9299421257280.

LCM of 214, 527, 679, 690, 704

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

Find the LCM of 214, 527, 679, 690, 704 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 214, 527, 679, 690, 704. So, keep reading to learn more.

Calculate the LCM of 214,527,679,690,704

Given numbers are 214,527,679,690,704

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

The LCM of 214,527,679,690,704 is 9299421257280.

Find LCM of 214,527,679,690,704 with Prime Factorization

2	214, 527, 679, 690, 704
	107, 527, 679, 345, 352

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

2 x 107 x 527 x 679 x 345 x 352 = 9299421257280

Therefore, the lowest common multiple of 214,527,679,690,704 is 9299421257280.

LCM Formula to Find Lowest Common Multiple of 214,527,679,690,704

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.

214 x 527 x 679 x 690 x 704 = 37197685029120

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.

214 : 1, 2, 107, 214

527 : 1, 17, 31, 527

679 : 1, 7, 97, 679

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,527,679,690,704, is 1.

Now, the common factors can be found like this.

214:2x 107

527:17x 31

679:7x 97

690:2x 3x 5x 23

704:2x 2x 2x 2x 2x 2x 11

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 = 37197685029120/(1x4)

LCM = 37197685029120/4

LCM = 9299421257280

Thus, we can understand that the LCM of 214,527,679,690,704 is 9299421257280.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 214, 527, 679, 690, 704

1. What is the LCM of 214, 527, 679, 690, 704?

Answer: LCM of 214, 527, 679, 690, 704 is 9299421257280.

2. How to calculate the LCM of 214, 527, 679, 690, 704?

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 214, 527, 679, 690, 704.

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}.