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LCM of 986, 511, 785, 608

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


Find the LCM of 986, 511, 785, 608 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, 511, 785, 608. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,511,785,608

Given numbers are 986,511,785,608

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

The LCM of 986,511,785,608 is 120237809440.

Find LCM of 986,511,785,608 with Prime Factorization


2 986, 511, 785, 608
493, 511, 785, 304

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

2 x 493 x 511 x 785 x 304 = 120237809440

Therefore, the lowest common multiple of 986,511,785,608 is 120237809440.

LCM Formula to Find Lowest Common Multiple of 986,511,785,608

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 511 x 785 x 608 = 240475618880

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

511 : 1, 7, 73, 511

785 : 1, 5, 157, 785

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,511,785,608, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

511:7x 73

785:5x 157

608:2x 2x 2x 2x 2x 19

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 = 240475618880/(1x2)

LCM = 240475618880/2

LCM = 120237809440

Thus, we can understand that the LCM of 986,511,785,608 is 120237809440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 511, 785, 608

1. What is the LCM of 986, 511, 785, 608?

Answer: LCM of 986, 511, 785, 608 is 120237809440.

2. How to calculate the LCM of 986, 511, 785, 608?

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, 511, 785, 608.

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}.