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LCM of 988, 391, 589, 304

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


Find the LCM of 988, 391, 589, 304 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, 391, 589, 304. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,391,589,304

Given numbers are 988,391,589,304

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

The LCM of 988,391,589,304 is 47902192.

Find LCM of 988,391,589,304 with Prime Factorization


2 988, 391, 589, 304
2 494, 391, 589, 152
19 247, 391, 589, 76
13, 391, 31, 4

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

2 x 2 x 19 x 13 x 391 x 31 x 4 = 47902192

Therefore, the lowest common multiple of 988,391,589,304 is 47902192.

LCM Formula to Find Lowest Common Multiple of 988,391,589,304

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 391 x 589 x 304 = 69170765248

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

391 : 1, 17, 23, 391

589 : 1, 19, 31, 589

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,391,589,304, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

391:17x 23

589:19x 31

304:2x 2x 2x 2x 19

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 19x 19 = 1444

Therefore, the value for common factors is 1444.

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 = 69170765248/(1x1444)

LCM = 69170765248/1444

LCM = 47902192

Thus, we can understand that the LCM of 988,391,589,304 is 47902192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 391, 589, 304

1. What is the LCM of 988, 391, 589, 304?

Answer: LCM of 988, 391, 589, 304 is 47902192.

2. How to calculate the LCM of 988, 391, 589, 304?

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, 391, 589, 304.

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}.