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LCM of 389, 933, 921, 820, 979

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


Find the LCM of 389, 933, 921, 820, 979 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 389, 933, 921, 820, 979. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 389,933,921,820,979

Given numbers are 389,933,921,820,979

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

The LCM of 389,933,921,820,979 is 89447079412020.

Find LCM of 389,933,921,820,979 with Prime Factorization


3 389, 933, 921, 820, 979
389, 311, 307, 820, 979

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

3 x 389 x 311 x 307 x 820 x 979 = 89447079412020

Therefore, the lowest common multiple of 389,933,921,820,979 is 89447079412020.

LCM Formula to Find Lowest Common Multiple of 389,933,921,820,979

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.

389 x 933 x 921 x 820 x 979 = 268341238236060

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.

389 : 1, 389

933 : 1, 3, 311, 933

921 : 1, 3, 307, 921

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

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,933,921,820,979, is 1.

Now, the common factors can be found like this.

389:389

933:3x 311

921:3x 307

820:2x 2x 5x 41

979:11x 89

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

3 = 3

Therefore, the value for common factors is 3.

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 = 268341238236060/(1x3)

LCM = 268341238236060/3

LCM = 89447079412020

Thus, we can understand that the LCM of 389,933,921,820,979 is 89447079412020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 389, 933, 921, 820, 979

1. What is the LCM of 389, 933, 921, 820, 979?

Answer: LCM of 389, 933, 921, 820, 979 is 89447079412020.

2. How to calculate the LCM of 389, 933, 921, 820, 979?

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 389, 933, 921, 820, 979.

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}.