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LCM of 871, 687, 884, 269, 991

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


Find the LCM of 871, 687, 884, 269, 991 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, 687, 884, 269, 991. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,687,884,269,991

Given numbers are 871,687,884,269,991

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

The LCM of 871,687,884,269,991 is 10847002475244.

Find LCM of 871,687,884,269,991 with Prime Factorization


13 871, 687, 884, 269, 991
67, 687, 68, 269, 991

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

13 x 67 x 687 x 68 x 269 x 991 = 10847002475244

Therefore, the lowest common multiple of 871,687,884,269,991 is 10847002475244.

LCM Formula to Find Lowest Common Multiple of 871,687,884,269,991

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 687 x 884 x 269 x 991 = 141011032178172

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

687 : 1, 3, 229, 687

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

269 : 1, 269

991 : 1, 991

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,687,884,269,991, is 1.

Now, the common factors can be found like this.

871:13x 67

687:3x 229

884:2x 2x 13x 17

269:269

991:991

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 = 141011032178172/(1x13)

LCM = 141011032178172/13

LCM = 10847002475244

Thus, we can understand that the LCM of 871,687,884,269,991 is 10847002475244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 687, 884, 269, 991

1. What is the LCM of 871, 687, 884, 269, 991?

Answer: LCM of 871, 687, 884, 269, 991 is 10847002475244.

2. How to calculate the LCM of 871, 687, 884, 269, 991?

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, 687, 884, 269, 991.

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}.