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LCM of 958, 955, 986, 511

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


Find the LCM of 958, 955, 986, 511 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 958, 955, 986, 511. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,955,986,511

Given numbers are 958,955,986,511

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

The LCM of 958,955,986,511 is 230481833470.

Find LCM of 958,955,986,511 with Prime Factorization


2 958, 955, 986, 511
479, 955, 493, 511

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

2 x 479 x 955 x 493 x 511 = 230481833470

Therefore, the lowest common multiple of 958,955,986,511 is 230481833470.

LCM Formula to Find Lowest Common Multiple of 958,955,986,511

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.

958 x 955 x 986 x 511 = 460963666940

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.

958 : 1, 2, 479, 958

955 : 1, 5, 191, 955

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

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,955,986,511, is 1.

Now, the common factors can be found like this.

958:2x 479

955:5x 191

986:2x 17x 29

511:7x 73

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 = 460963666940/(1x2)

LCM = 460963666940/2

LCM = 230481833470

Thus, we can understand that the LCM of 958,955,986,511 is 230481833470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 955, 986, 511

1. What is the LCM of 958, 955, 986, 511?

Answer: LCM of 958, 955, 986, 511 is 230481833470.

2. How to calculate the LCM of 958, 955, 986, 511?

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 958, 955, 986, 511.

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}.