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LCM of 266, 566, 922, 437, 317

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


Find the LCM of 266, 566, 922, 437, 317 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 266, 566, 922, 437, 317. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 266,566,922,437,317

Given numbers are 266,566,922,437,317

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

The LCM of 266,566,922,437,317 is 253020724978.

Find LCM of 266,566,922,437,317 with Prime Factorization


2 266, 566, 922, 437, 317
19 133, 283, 461, 437, 317
7, 283, 461, 23, 317

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

2 x 19 x 7 x 283 x 461 x 23 x 317 = 253020724978

Therefore, the lowest common multiple of 266,566,922,437,317 is 253020724978.

LCM Formula to Find Lowest Common Multiple of 266,566,922,437,317

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.

266 x 566 x 922 x 437 x 317 = 19229575098328

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.

266 : 1, 2, 7, 14, 19, 38, 133, 266

566 : 1, 2, 283, 566

922 : 1, 2, 461, 922

437 : 1, 19, 23, 437

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,566,922,437,317, is 1.

Now, the common factors can be found like this.

266:2x 7x 19

566:2x 283

922:2x 461

437:19x 23

317:317

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 19 = 76

Therefore, the value for common factors is 76.

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 = 19229575098328/(1x76)

LCM = 19229575098328/76

LCM = 253020724978

Thus, we can understand that the LCM of 266,566,922,437,317 is 253020724978.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 266, 566, 922, 437, 317

1. What is the LCM of 266, 566, 922, 437, 317?

Answer: LCM of 266, 566, 922, 437, 317 is 253020724978.

2. How to calculate the LCM of 266, 566, 922, 437, 317?

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 266, 566, 922, 437, 317.

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}.