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LCM of 988, 380, 895, 560

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


Find the LCM of 988, 380, 895, 560 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, 380, 895, 560. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,380,895,560

Given numbers are 988,380,895,560

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

The LCM of 988,380,895,560 is 24759280.

Find LCM of 988,380,895,560 with Prime Factorization


2 988, 380, 895, 560
2 494, 190, 895, 280
5 247, 95, 895, 140
19 247, 19, 179, 28
13, 1, 179, 28

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

2 x 2 x 5 x 19 x 13 x 1 x 179 x 28 = 24759280

Therefore, the lowest common multiple of 988,380,895,560 is 24759280.

LCM Formula to Find Lowest Common Multiple of 988,380,895,560

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 380 x 895 x 560 = 188170528000

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

895 : 1, 5, 179, 895

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,380,895,560, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

380:2x 2x 5x 19

895:5x 179

560:2x 2x 2x 2x 5x 7

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 5x 19 = 7600

Therefore, the value for common factors is 7600.

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 = 188170528000/(1x7600)

LCM = 188170528000/7600

LCM = 24759280

Thus, we can understand that the LCM of 988,380,895,560 is 24759280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 380, 895, 560

1. What is the LCM of 988, 380, 895, 560?

Answer: LCM of 988, 380, 895, 560 is 24759280.

2. How to calculate the LCM of 988, 380, 895, 560?

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, 380, 895, 560.

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}.