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LCM of 100, 287, 330, 420, 819

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


Find the LCM of 100, 287, 330, 420, 819 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 100, 287, 330, 420, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 100,287,330,420,819

Given numbers are 100,287,330,420,819

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

The LCM of 100,287,330,420,819 is 36936900.

Find LCM of 100,287,330,420,819 with Prime Factorization


2 100, 287, 330, 420, 819
2 50, 287, 165, 210, 819
3 25, 287, 165, 105, 819
5 25, 287, 55, 35, 273
7 5, 287, 11, 7, 273
5, 41, 11, 1, 39

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

2 x 2 x 3 x 5 x 7 x 5 x 41 x 11 x 1 x 39 = 36936900

Therefore, the lowest common multiple of 100,287,330,420,819 is 36936900.

LCM Formula to Find Lowest Common Multiple of 100,287,330,420,819

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.

100 x 287 x 330 x 420 x 819 = 3257834580000

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.

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

287 : 1, 7, 41, 287

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,287,330,420,819, is 1.

Now, the common factors can be found like this.

100:2x 2x 5x 5

287:7x 41

330:2x 3x 5x 11

420:2x 2x 3x 5x 7

819:3x 3x 7x 13

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 2x 3x 3x 5x 5x 7x 7 = 88200

Therefore, the value for common factors is 88200.

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 = 3257834580000/(1x88200)

LCM = 3257834580000/88200

LCM = 36936900

Thus, we can understand that the LCM of 100,287,330,420,819 is 36936900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 100, 287, 330, 420, 819

1. What is the LCM of 100, 287, 330, 420, 819?

Answer: LCM of 100, 287, 330, 420, 819 is 36936900.

2. How to calculate the LCM of 100, 287, 330, 420, 819?

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 100, 287, 330, 420, 819.

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}.