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LCM of 884, 568, 374, 760, 660

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


Find the LCM of 884, 568, 374, 760, 660 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 884, 568, 374, 760, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,568,374,760,660

Given numbers are 884,568,374,760,660

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

The LCM of 884,568,374,760,660 is 393530280.

Find LCM of 884,568,374,760,660 with Prime Factorization


2 884, 568, 374, 760, 660
2 442, 284, 187, 380, 330
2 221, 142, 187, 190, 165
5 221, 71, 187, 95, 165
11 221, 71, 187, 19, 33
17 221, 71, 17, 19, 3
13, 71, 1, 19, 3

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

2 x 2 x 2 x 5 x 11 x 17 x 13 x 71 x 1 x 19 x 3 = 393530280

Therefore, the lowest common multiple of 884,568,374,760,660 is 393530280.

LCM Formula to Find Lowest Common Multiple of 884,568,374,760,660

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.

884 x 568 x 374 x 760 x 660 = 94195407820800

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.

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

568 : 1, 2, 4, 8, 71, 142, 284, 568

374 : 1, 2, 11, 17, 22, 34, 187, 374

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,568,374,760,660, is 2.

Now, the common factors can be found like this.

884:2x 2x 13x 17

568:2x 2x 2x 71

374:2x 11x 17

760:2x 2x 2x 5x 19

660:2x 2x 3x 5x 11

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 2x 2x 2x 2x 2x 5x 11x 17 = 119680

Therefore, the value for common factors is 119680.

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 = 94195407820800/(2x119680)

LCM = 94195407820800/239360

LCM = 393530280

Thus, we can understand that the LCM of 884,568,374,760,660 is 393530280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 568, 374, 760, 660

1. What is the LCM of 884, 568, 374, 760, 660?

Answer: LCM of 884, 568, 374, 760, 660 is 393530280.

2. How to calculate the LCM of 884, 568, 374, 760, 660?

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 884, 568, 374, 760, 660.

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}.