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LCM of 829, 621, 207, 909

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


Find the LCM of 829, 621, 207, 909 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 829, 621, 207, 909. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 829,621,207,909

Given numbers are 829,621,207,909

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

The LCM of 829,621,207,909 is 51995709.

Find LCM of 829,621,207,909 with Prime Factorization


3 829, 621, 207, 909
3 829, 207, 69, 303
23 829, 23, 69, 101
829, 1, 3, 101

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

3 x 3 x 23 x 829 x 1 x 3 x 101 = 51995709

Therefore, the lowest common multiple of 829,621,207,909 is 51995709.

LCM Formula to Find Lowest Common Multiple of 829,621,207,909

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.

829 x 621 x 207 x 909 = 96868005867

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.

829 : 1, 829

621 : 1, 3, 9, 23, 27, 69, 207, 621

207 : 1, 3, 9, 23, 69, 207

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,621,207,909, is 1.

Now, the common factors can be found like this.

829:829

621:3x 3x 3x 23

207:3x 3x 23

909:3x 3x 101

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 3x 23 = 1863

Therefore, the value for common factors is 1863.

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 = 96868005867/(1x1863)

LCM = 96868005867/1863

LCM = 51995709

Thus, we can understand that the LCM of 829,621,207,909 is 51995709.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 829, 621, 207, 909

1. What is the LCM of 829, 621, 207, 909?

Answer: LCM of 829, 621, 207, 909 is 51995709.

2. How to calculate the LCM of 829, 621, 207, 909?

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 829, 621, 207, 909.

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}.