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LCM of 871, 715, 298, 883, 971

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


Find the LCM of 871, 715, 298, 883, 971 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 871, 715, 298, 883, 971. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,715,298,883,971

Given numbers are 871,715,298,883,971

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

The LCM of 871,715,298,883,971 is 12239876676170.

Find LCM of 871,715,298,883,971 with Prime Factorization


13 871, 715, 298, 883, 971
67, 55, 298, 883, 971

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

13 x 67 x 55 x 298 x 883 x 971 = 12239876676170

Therefore, the lowest common multiple of 871,715,298,883,971 is 12239876676170.

LCM Formula to Find Lowest Common Multiple of 871,715,298,883,971

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.

871 x 715 x 298 x 883 x 971 = 159118396790210

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.

871 : 1, 13, 67, 871

715 : 1, 5, 11, 13, 55, 65, 143, 715

298 : 1, 2, 149, 298

883 : 1, 883

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,715,298,883,971, is 1.

Now, the common factors can be found like this.

871:13x 67

715:5x 11x 13

298:2x 149

883:883

971:971

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

13 = 13

Therefore, the value for common factors is 13.

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 = 159118396790210/(1x13)

LCM = 159118396790210/13

LCM = 12239876676170

Thus, we can understand that the LCM of 871,715,298,883,971 is 12239876676170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 715, 298, 883, 971

1. What is the LCM of 871, 715, 298, 883, 971?

Answer: LCM of 871, 715, 298, 883, 971 is 12239876676170.

2. How to calculate the LCM of 871, 715, 298, 883, 971?

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 871, 715, 298, 883, 971.

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}.