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LCM of 518, 511, 445, 801

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


Find the LCM of 518, 511, 445, 801 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 518, 511, 445, 801. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,511,445,801

Given numbers are 518,511,445,801

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

The LCM of 518,511,445,801 is 151445070.

Find LCM of 518,511,445,801 with Prime Factorization


7 518, 511, 445, 801
89 74, 73, 445, 801
74, 73, 5, 9

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

7 x 89 x 74 x 73 x 5 x 9 = 151445070

Therefore, the lowest common multiple of 518,511,445,801 is 151445070.

LCM Formula to Find Lowest Common Multiple of 518,511,445,801

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.

518 x 511 x 445 x 801 = 94350278610

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

511 : 1, 7, 73, 511

445 : 1, 5, 89, 445

801 : 1, 3, 9, 89, 267, 801

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,511,445,801, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

511:7x 73

445:5x 89

801:3x 3x 89

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

7x 89 = 623

Therefore, the value for common factors is 623.

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 = 94350278610/(1x623)

LCM = 94350278610/623

LCM = 151445070

Thus, we can understand that the LCM of 518,511,445,801 is 151445070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 511, 445, 801

1. What is the LCM of 518, 511, 445, 801?

Answer: LCM of 518, 511, 445, 801 is 151445070.

2. How to calculate the LCM of 518, 511, 445, 801?

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 518, 511, 445, 801.

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}.