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LCM of 863, 204, 162, 993

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


Find the LCM of 863, 204, 162, 993 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, 204, 162, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 863,204,162,993

Given numbers are 863,204,162,993

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

The LCM of 863,204,162,993 is 1573376724.

Find LCM of 863,204,162,993 with Prime Factorization


2 863, 204, 162, 993
3 863, 102, 81, 993
863, 34, 27, 331

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

2 x 3 x 863 x 34 x 27 x 331 = 1573376724

Therefore, the lowest common multiple of 863,204,162,993 is 1573376724.

LCM Formula to Find Lowest Common Multiple of 863,204,162,993

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 204 x 162 x 993 = 28320781032

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,204,162,993, is 1.

Now, the common factors can be found like this.

863:863

204:2x 2x 3x 17

162:2x 3x 3x 3x 3

993:3x 331

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 28320781032/(1x18)

LCM = 28320781032/18

LCM = 1573376724

Thus, we can understand that the LCM of 863,204,162,993 is 1573376724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 863, 204, 162, 993

1. What is the LCM of 863, 204, 162, 993?

Answer: LCM of 863, 204, 162, 993 is 1573376724.

2. How to calculate the LCM of 863, 204, 162, 993?

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, 204, 162, 993.

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}.