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LCM of 991, 288, 939, 313

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


Find the LCM of 991, 288, 939, 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 991, 288, 939, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 991,288,939,313

Given numbers are 991,288,939,313

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

The LCM of 991,288,939,313 is 89332704.

Find LCM of 991,288,939,313 with Prime Factorization


3 991, 288, 939, 313
313 991, 96, 313, 313
991, 96, 1, 1

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

3 x 313 x 991 x 96 x 1 x 1 = 89332704

Therefore, the lowest common multiple of 991,288,939,313 is 89332704.

LCM Formula to Find Lowest Common Multiple of 991,288,939,313

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.

991 x 288 x 939 x 313 = 83883409056

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.

991 : 1, 991

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

939 : 1, 3, 313, 939

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,288,939,313, is 1.

Now, the common factors can be found like this.

991:991

288:2x 2x 2x 2x 2x 3x 3

939:3x 313

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.

3x 313 = 939

Therefore, the value for common factors is 939.

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 = 83883409056/(1x939)

LCM = 83883409056/939

LCM = 89332704

Thus, we can understand that the LCM of 991,288,939,313 is 89332704.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 991, 288, 939, 313

1. What is the LCM of 991, 288, 939, 313?

Answer: LCM of 991, 288, 939, 313 is 89332704.

2. How to calculate the LCM of 991, 288, 939, 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 991, 288, 939, 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}.