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LCM of 863, 724, 871, 286

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


Find the LCM of 863, 724, 871, 286 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 863, 724, 871, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 863,724,871,286

Given numbers are 863,724,871,286

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

The LCM of 863,724,871,286 is 5986323772.

Find LCM of 863,724,871,286 with Prime Factorization


2 863, 724, 871, 286
13 863, 362, 871, 143
863, 362, 67, 11

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

2 x 13 x 863 x 362 x 67 x 11 = 5986323772

Therefore, the lowest common multiple of 863,724,871,286 is 5986323772.

LCM Formula to Find Lowest Common Multiple of 863,724,871,286

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.

863 x 724 x 871 x 286 = 155644418072

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.

863 : 1, 863

724 : 1, 2, 4, 181, 362, 724

871 : 1, 13, 67, 871

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,724,871,286, is 1.

Now, the common factors can be found like this.

863:863

724:2x 2x 181

871:13x 67

286:2x 11x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 155644418072/(1x26)

LCM = 155644418072/26

LCM = 5986323772

Thus, we can understand that the LCM of 863,724,871,286 is 5986323772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 863, 724, 871, 286

1. What is the LCM of 863, 724, 871, 286?

Answer: LCM of 863, 724, 871, 286 is 5986323772.

2. How to calculate the LCM of 863, 724, 871, 286?

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 863, 724, 871, 286.

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}.