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LCM of 986, 266, 566, 849

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


Find the LCM of 986, 266, 566, 849 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 986, 266, 566, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,266,566,849

Given numbers are 986,266,566,849

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

The LCM of 986,266,566,849 is 111336162.

Find LCM of 986,266,566,849 with Prime Factorization


2 986, 266, 566, 849
283 493, 133, 283, 849
493, 133, 1, 3

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

2 x 283 x 493 x 133 x 1 x 3 = 111336162

Therefore, the lowest common multiple of 986,266,566,849 is 111336162.

LCM Formula to Find Lowest Common Multiple of 986,266,566,849

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.

986 x 266 x 566 x 849 = 126032535384

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

566 : 1, 2, 283, 566

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,266,566,849, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

266:2x 7x 19

566:2x 283

849:3x 283

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 283 = 1132

Therefore, the value for common factors is 1132.

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 = 126032535384/(1x1132)

LCM = 126032535384/1132

LCM = 111336162

Thus, we can understand that the LCM of 986,266,566,849 is 111336162.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 266, 566, 849

1. What is the LCM of 986, 266, 566, 849?

Answer: LCM of 986, 266, 566, 849 is 111336162.

2. How to calculate the LCM of 986, 266, 566, 849?

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 986, 266, 566, 849.

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}.