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LCM of 980, 809, 147, 579, 884

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


Find the LCM of 980, 809, 147, 579, 884 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 980, 809, 147, 579, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 980,809,147,579,884

Given numbers are 980,809,147,579,884

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

The LCM of 980,809,147,579,884 is 101448454380.

Find LCM of 980,809,147,579,884 with Prime Factorization


2 980, 809, 147, 579, 884
2 490, 809, 147, 579, 442
3 245, 809, 147, 579, 221
7 245, 809, 49, 193, 221
7 35, 809, 7, 193, 221
5, 809, 1, 193, 221

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

2 x 2 x 3 x 7 x 7 x 5 x 809 x 1 x 193 x 221 = 101448454380

Therefore, the lowest common multiple of 980,809,147,579,884 is 101448454380.

LCM Formula to Find Lowest Common Multiple of 980,809,147,579,884

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.

980 x 809 x 147 x 579 x 884 = 59651691175440

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.

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

809 : 1, 809

147 : 1, 3, 7, 21, 49, 147

579 : 1, 3, 193, 579

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,809,147,579,884, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

809:809

147:3x 7x 7

579:3x 193

884:2x 2x 13x 17

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

2x 2x 3x 7x 7 = 588

Therefore, the value for common factors is 588.

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 = 59651691175440/(1x588)

LCM = 59651691175440/588

LCM = 101448454380

Thus, we can understand that the LCM of 980,809,147,579,884 is 101448454380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 980, 809, 147, 579, 884

1. What is the LCM of 980, 809, 147, 579, 884?

Answer: LCM of 980, 809, 147, 579, 884 is 101448454380.

2. How to calculate the LCM of 980, 809, 147, 579, 884?

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 980, 809, 147, 579, 884.

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}.