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LCM of 820, 394, 974, 903

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


Find the LCM of 820, 394, 974, 903 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 820, 394, 974, 903. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 820,394,974,903

Given numbers are 820,394,974,903

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

The LCM of 820,394,974,903 is 71038991940.

Find LCM of 820,394,974,903 with Prime Factorization


2 820, 394, 974, 903
410, 197, 487, 903

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

2 x 410 x 197 x 487 x 903 = 71038991940

Therefore, the lowest common multiple of 820,394,974,903 is 71038991940.

LCM Formula to Find Lowest Common Multiple of 820,394,974,903

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.

820 x 394 x 974 x 903 = 284155967760

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

394 : 1, 2, 197, 394

974 : 1, 2, 487, 974

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,394,974,903, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

394:2x 197

974:2x 487

903:3x 7x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 284155967760/(1x4)

LCM = 284155967760/4

LCM = 71038991940

Thus, we can understand that the LCM of 820,394,974,903 is 71038991940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 820, 394, 974, 903

1. What is the LCM of 820, 394, 974, 903?

Answer: LCM of 820, 394, 974, 903 is 71038991940.

2. How to calculate the LCM of 820, 394, 974, 903?

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 820, 394, 974, 903.

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}.