What are the Factors of 29936417280 ?

Factors of 29936417280 are . There are integers that are factors of 29936417280.

How to Find the LCM of 924, 217, 713, 512, 355 ?

Least Common Multiple of 924, 217, 713, 512, 355 = 29936417280 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(924, 217, 713, 512, 355) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 23 x 31 x 71 = 29936417280.

What are the Factors of 29936417280 ?

Factors of 29936417280 are . There are integers that are factors of 29936417280.

How to Find the LCM of 924, 217, 713, 512, 355 ?

Least Common Multiple of 924, 217, 713, 512, 355 = 29936417280 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(924, 217, 713, 512, 355) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 23 x 31 x 71 = 29936417280.

LCM of 924, 217, 713, 512, 355

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

Find the LCM of 924, 217, 713, 512, 355 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 924, 217, 713, 512, 355. So, keep reading to learn more.

Calculate the LCM of 924,217,713,512,355

Given numbers are 924,217,713,512,355

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

The LCM of 924,217,713,512,355 is 29936417280.

Find LCM of 924,217,713,512,355 with Prime Factorization

2	924, 217, 713, 512, 355
2	462, 217, 713, 256, 355
7	231, 217, 713, 128, 355
31	33, 31, 713, 128, 355
	33, 1, 23, 128, 355

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

2 x 2 x 7 x 31 x 33 x 1 x 23 x 128 x 355 = 29936417280

Therefore, the lowest common multiple of 924,217,713,512,355 is 29936417280.

LCM Formula to Find Lowest Common Multiple of 924,217,713,512,355

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.

924 x 217 x 713 x 512 x 355 = 25984810199040

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

217 : 1, 7, 31, 217

713 : 1, 23, 31, 713

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,217,713,512,355, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

217:7x 31

713:23x 31

512:2x 2x 2x 2x 2x 2x 2x 2x 2

355:5x 71

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 7x 31 = 868

Therefore, the value for common factors is 868.

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 = 25984810199040/(1x868)

LCM = 25984810199040/868

LCM = 29936417280

Thus, we can understand that the LCM of 924,217,713,512,355 is 29936417280.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 924, 217, 713, 512, 355

1. What is the LCM of 924, 217, 713, 512, 355?

Answer: LCM of 924, 217, 713, 512, 355 is 29936417280.

2. How to calculate the LCM of 924, 217, 713, 512, 355?

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 924, 217, 713, 512, 355.

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}.