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LCM of 997, 363, 681, 327, 133

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


Find the LCM of 997, 363, 681, 327, 133 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 997, 363, 681, 327, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 997,363,681,327,133

Given numbers are 997,363,681,327,133

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

The LCM of 997,363,681,327,133 is 1190983595109.

Find LCM of 997,363,681,327,133 with Prime Factorization


3 997, 363, 681, 327, 133
997, 121, 227, 109, 133

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

3 x 997 x 121 x 227 x 109 x 133 = 1190983595109

Therefore, the lowest common multiple of 997,363,681,327,133 is 1190983595109.

LCM Formula to Find Lowest Common Multiple of 997,363,681,327,133

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.

997 x 363 x 681 x 327 x 133 = 10718852355981

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.

997 : 1, 997

363 : 1, 3, 11, 33, 121, 363

681 : 1, 3, 227, 681

327 : 1, 3, 109, 327

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,363,681,327,133, is 1.

Now, the common factors can be found like this.

997:997

363:3x 11x 11

681:3x 227

327:3x 109

133:7x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 10718852355981/(1x9)

LCM = 10718852355981/9

LCM = 1190983595109

Thus, we can understand that the LCM of 997,363,681,327,133 is 1190983595109.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 997, 363, 681, 327, 133

1. What is the LCM of 997, 363, 681, 327, 133?

Answer: LCM of 997, 363, 681, 327, 133 is 1190983595109.

2. How to calculate the LCM of 997, 363, 681, 327, 133?

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 997, 363, 681, 327, 133.

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}.