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LCM of 988, 100, 442, 320

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


Find the LCM of 988, 100, 442, 320 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 988, 100, 442, 320. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,100,442,320

Given numbers are 988,100,442,320

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

The LCM of 988,100,442,320 is 6718400.

Find LCM of 988,100,442,320 with Prime Factorization


2 988, 100, 442, 320
2 494, 50, 221, 160
5 247, 25, 221, 80
13 247, 5, 221, 16
19, 5, 17, 16

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

2 x 2 x 5 x 13 x 19 x 5 x 17 x 16 = 6718400

Therefore, the lowest common multiple of 988,100,442,320 is 6718400.

LCM Formula to Find Lowest Common Multiple of 988,100,442,320

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.

988 x 100 x 442 x 320 = 13974272000

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

442 : 1, 2, 13, 17, 26, 34, 221, 442

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,100,442,320, is 2.

Now, the common factors can be found like this.

988:2x 2x 13x 19

100:2x 2x 5x 5

442:2x 13x 17

320:2x 2x 2x 2x 2x 2x 5

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 5x 13 = 1040

Therefore, the value for common factors is 1040.

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 = 13974272000/(2x1040)

LCM = 13974272000/2080

LCM = 6718400

Thus, we can understand that the LCM of 988,100,442,320 is 6718400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 100, 442, 320

1. What is the LCM of 988, 100, 442, 320?

Answer: LCM of 988, 100, 442, 320 is 6718400.

2. How to calculate the LCM of 988, 100, 442, 320?

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 988, 100, 442, 320.

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}.