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LCM of 871, 442, 272, 802

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


Find the LCM of 871, 442, 272, 802 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, 442, 272, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,442,272,802

Given numbers are 871,442,272,802

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

The LCM of 871,442,272,802 is 95001712.

Find LCM of 871,442,272,802 with Prime Factorization


2 871, 442, 272, 802
13 871, 221, 136, 401
17 67, 17, 136, 401
67, 1, 8, 401

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

2 x 13 x 17 x 67 x 1 x 8 x 401 = 95001712

Therefore, the lowest common multiple of 871,442,272,802 is 95001712.

LCM Formula to Find Lowest Common Multiple of 871,442,272,802

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 442 x 272 x 802 = 83981513408

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,442,272,802, is 1.

Now, the common factors can be found like this.

871:13x 67

442:2x 13x 17

272:2x 2x 2x 2x 17

802:2x 401

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 13x 17 = 884

Therefore, the value for common factors is 884.

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 = 83981513408/(1x884)

LCM = 83981513408/884

LCM = 95001712

Thus, we can understand that the LCM of 871,442,272,802 is 95001712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 442, 272, 802

1. What is the LCM of 871, 442, 272, 802?

Answer: LCM of 871, 442, 272, 802 is 95001712.

2. How to calculate the LCM of 871, 442, 272, 802?

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, 442, 272, 802.

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}.