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LCM of 803, 784, 320, 819

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


Find the LCM of 803, 784, 320, 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 803, 784, 320, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,784,320,819

Given numbers are 803,784,320,819

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

The LCM of 803,784,320,819 is 1473151680.

Find LCM of 803,784,320,819 with Prime Factorization


2 803, 784, 320, 819
2 803, 392, 160, 819
2 803, 196, 80, 819
2 803, 98, 40, 819
7 803, 49, 20, 819
803, 7, 20, 117

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

2 x 2 x 2 x 2 x 7 x 803 x 7 x 20 x 117 = 1473151680

Therefore, the lowest common multiple of 803,784,320,819 is 1473151680.

LCM Formula to Find Lowest Common Multiple of 803,784,320,819

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.

803 x 784 x 320 x 819 = 164992988160

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.

803 : 1, 11, 73, 803

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 803,784,320,819, is 1.

Now, the common factors can be found like this.

803:11x 73

784:2x 2x 2x 2x 7x 7

320:2x 2x 2x 2x 2x 2x 5

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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 164992988160/(1x112)

LCM = 164992988160/112

LCM = 1473151680

Thus, we can understand that the LCM of 803,784,320,819 is 1473151680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 784, 320, 819

1. What is the LCM of 803, 784, 320, 819?

Answer: LCM of 803, 784, 320, 819 is 1473151680.

2. How to calculate the LCM of 803, 784, 320, 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 803, 784, 320, 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}.