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LCM of 798, 489, 209, 675

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


Find the LCM of 798, 489, 209, 675 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 798, 489, 209, 675. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,489,209,675

Given numbers are 798,489,209,675

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

The LCM of 798,489,209,675 is 321933150.

Find LCM of 798,489,209,675 with Prime Factorization


3 798, 489, 209, 675
19 266, 163, 209, 225
14, 163, 11, 225

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

3 x 19 x 14 x 163 x 11 x 225 = 321933150

Therefore, the lowest common multiple of 798,489,209,675 is 321933150.

LCM Formula to Find Lowest Common Multiple of 798,489,209,675

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.

798 x 489 x 209 x 675 = 55050568650

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

489 : 1, 3, 163, 489

209 : 1, 11, 19, 209

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,489,209,675, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

489:3x 163

209:11x 19

675:3x 3x 3x 5x 5

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 19 = 171

Therefore, the value for common factors is 171.

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 = 55050568650/(1x171)

LCM = 55050568650/171

LCM = 321933150

Thus, we can understand that the LCM of 798,489,209,675 is 321933150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 489, 209, 675

1. What is the LCM of 798, 489, 209, 675?

Answer: LCM of 798, 489, 209, 675 is 321933150.

2. How to calculate the LCM of 798, 489, 209, 675?

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 798, 489, 209, 675.

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}.