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LCM of 731, 559, 299, 566, 284

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


Find the LCM of 731, 559, 299, 566, 284 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 731, 559, 299, 566, 284. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,559,299,566,284

Given numbers are 731,559,299,566,284

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

The LCM of 731,559,299,566,284 is 17566827668.

Find LCM of 731,559,299,566,284 with Prime Factorization


2 731, 559, 299, 566, 284
13 731, 559, 299, 283, 142
43 731, 43, 23, 283, 142
17, 1, 23, 283, 142

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

2 x 13 x 43 x 17 x 1 x 23 x 283 x 142 = 17566827668

Therefore, the lowest common multiple of 731,559,299,566,284 is 17566827668.

LCM Formula to Find Lowest Common Multiple of 731,559,299,566,284

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.

731 x 559 x 299 x 566 x 284 = 19639713332824

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.

731 : 1, 17, 43, 731

559 : 1, 13, 43, 559

299 : 1, 13, 23, 299

566 : 1, 2, 283, 566

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,559,299,566,284, is 1.

Now, the common factors can be found like this.

731:17x 43

559:13x 43

299:13x 23

566:2x 283

284:2x 2x 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 13x 43 = 1118

Therefore, the value for common factors is 1118.

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 = 19639713332824/(1x1118)

LCM = 19639713332824/1118

LCM = 17566827668

Thus, we can understand that the LCM of 731,559,299,566,284 is 17566827668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 559, 299, 566, 284

1. What is the LCM of 731, 559, 299, 566, 284?

Answer: LCM of 731, 559, 299, 566, 284 is 17566827668.

2. How to calculate the LCM of 731, 559, 299, 566, 284?

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 731, 559, 299, 566, 284.

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}.