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LCM of 803, 693, 909, 489

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


Find the LCM of 803, 693, 909, 489 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, 693, 909, 489. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,693,909,489

Given numbers are 803,693,909,489

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

The LCM of 803,693,909,489 is 832846707.

Find LCM of 803,693,909,489 with Prime Factorization


3 803, 693, 909, 489
3 803, 231, 303, 163
11 803, 77, 101, 163
73, 7, 101, 163

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

3 x 3 x 11 x 73 x 7 x 101 x 163 = 832846707

Therefore, the lowest common multiple of 803,693,909,489 is 832846707.

LCM Formula to Find Lowest Common Multiple of 803,693,909,489

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 693 x 909 x 489 = 247355471979

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

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

909 : 1, 3, 9, 101, 303, 909

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,693,909,489, is 1.

Now, the common factors can be found like this.

803:11x 73

693:3x 3x 7x 11

909:3x 3x 101

489:3x 163

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

3x 3x 3x 11 = 297

Therefore, the value for common factors is 297.

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 = 247355471979/(1x297)

LCM = 247355471979/297

LCM = 832846707

Thus, we can understand that the LCM of 803,693,909,489 is 832846707.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 693, 909, 489

1. What is the LCM of 803, 693, 909, 489?

Answer: LCM of 803, 693, 909, 489 is 832846707.

2. How to calculate the LCM of 803, 693, 909, 489?

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, 693, 909, 489.

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}.