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LCM of 526, 337, 851, 180

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


Find the LCM of 526, 337, 851, 180 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 526, 337, 851, 180. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 526,337,851,180

Given numbers are 526,337,851,180

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

The LCM of 526,337,851,180 is 13576496580.

Find LCM of 526,337,851,180 with Prime Factorization


2 526, 337, 851, 180
263, 337, 851, 90

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

2 x 263 x 337 x 851 x 90 = 13576496580

Therefore, the lowest common multiple of 526,337,851,180 is 13576496580.

LCM Formula to Find Lowest Common Multiple of 526,337,851,180

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.

526 x 337 x 851 x 180 = 27152993160

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.

526 : 1, 2, 263, 526

337 : 1, 337

851 : 1, 23, 37, 851

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,337,851,180, is 1.

Now, the common factors can be found like this.

526:2x 263

337:337

851:23x 37

180:2x 2x 3x 3x 5

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 = 27152993160/(1x2)

LCM = 27152993160/2

LCM = 13576496580

Thus, we can understand that the LCM of 526,337,851,180 is 13576496580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 526, 337, 851, 180

1. What is the LCM of 526, 337, 851, 180?

Answer: LCM of 526, 337, 851, 180 is 13576496580.

2. How to calculate the LCM of 526, 337, 851, 180?

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 526, 337, 851, 180.

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}.