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LCM of 566, 562, 631, 289

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


Find the LCM of 566, 562, 631, 289 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 566, 562, 631, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 566,562,631,289

Given numbers are 566,562,631,289

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

The LCM of 566,562,631,289 is 29003469514.

Find LCM of 566,562,631,289 with Prime Factorization


2 566, 562, 631, 289
283, 281, 631, 289

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

2 x 283 x 281 x 631 x 289 = 29003469514

Therefore, the lowest common multiple of 566,562,631,289 is 29003469514.

LCM Formula to Find Lowest Common Multiple of 566,562,631,289

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.

566 x 562 x 631 x 289 = 58006939028

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.

566 : 1, 2, 283, 566

562 : 1, 2, 281, 562

631 : 1, 631

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,562,631,289, is 1.

Now, the common factors can be found like this.

566:2x 283

562:2x 281

631:631

289:17x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 58006939028/(1x2)

LCM = 58006939028/2

LCM = 29003469514

Thus, we can understand that the LCM of 566,562,631,289 is 29003469514.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 566, 562, 631, 289

1. What is the LCM of 566, 562, 631, 289?

Answer: LCM of 566, 562, 631, 289 is 29003469514.

2. How to calculate the LCM of 566, 562, 631, 289?

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 566, 562, 631, 289.

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}.