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LCM of 990, 559, 581, 714, 884

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


Find the LCM of 990, 559, 581, 714, 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 990, 559, 581, 714, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,559,581,714,884

Given numbers are 990,559,581,714,884

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

The LCM of 990,559,581,714,884 is 10932061140.

Find LCM of 990,559,581,714,884 with Prime Factorization


2 990, 559, 581, 714, 884
3 495, 559, 581, 357, 442
7 165, 559, 581, 119, 442
13 165, 559, 83, 17, 442
17 165, 43, 83, 17, 34
165, 43, 83, 1, 2

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

2 x 3 x 7 x 13 x 17 x 165 x 43 x 83 x 1 x 2 = 10932061140

Therefore, the lowest common multiple of 990,559,581,714,884 is 10932061140.

LCM Formula to Find Lowest Common Multiple of 990,559,581,714,884

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.

990 x 559 x 581 x 714 x 884 = 202942783002960

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

559 : 1, 13, 43, 559

581 : 1, 7, 83, 581

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 990,559,581,714,884, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

559:13x 43

581:7x 83

714:2x 3x 7x 17

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 13x 17 = 18564

Therefore, the value for common factors is 18564.

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 = 202942783002960/(1x18564)

LCM = 202942783002960/18564

LCM = 10932061140

Thus, we can understand that the LCM of 990,559,581,714,884 is 10932061140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 559, 581, 714, 884

1. What is the LCM of 990, 559, 581, 714, 884?

Answer: LCM of 990, 559, 581, 714, 884 is 10932061140.

2. How to calculate the LCM of 990, 559, 581, 714, 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 990, 559, 581, 714, 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}.