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LCM of 989, 344, 308, 313

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


Find the LCM of 989, 344, 308, 313 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 989, 344, 308, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,344,308,313

Given numbers are 989,344,308,313

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

The LCM of 989,344,308,313 is 190687112.

Find LCM of 989,344,308,313 with Prime Factorization


2 989, 344, 308, 313
2 989, 172, 154, 313
43 989, 86, 77, 313
23, 2, 77, 313

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

2 x 2 x 43 x 23 x 2 x 77 x 313 = 190687112

Therefore, the lowest common multiple of 989,344,308,313 is 190687112.

LCM Formula to Find Lowest Common Multiple of 989,344,308,313

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.

989 x 344 x 308 x 313 = 32798183264

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.

989 : 1, 23, 43, 989

344 : 1, 2, 4, 8, 43, 86, 172, 344

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,344,308,313, is 1.

Now, the common factors can be found like this.

989:23x 43

344:2x 2x 2x 43

308:2x 2x 7x 11

313:313

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 43 = 172

Therefore, the value for common factors is 172.

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 = 32798183264/(1x172)

LCM = 32798183264/172

LCM = 190687112

Thus, we can understand that the LCM of 989,344,308,313 is 190687112.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 344, 308, 313

1. What is the LCM of 989, 344, 308, 313?

Answer: LCM of 989, 344, 308, 313 is 190687112.

2. How to calculate the LCM of 989, 344, 308, 313?

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 989, 344, 308, 313.

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}.