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LCM of 993, 866, 589, 904

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


Find the LCM of 993, 866, 589, 904 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 993, 866, 589, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,866,589,904

Given numbers are 993,866,589,904

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

The LCM of 993,866,589,904 is 228939573864.

Find LCM of 993,866,589,904 with Prime Factorization


2 993, 866, 589, 904
993, 433, 589, 452

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

2 x 993 x 433 x 589 x 452 = 228939573864

Therefore, the lowest common multiple of 993,866,589,904 is 228939573864.

LCM Formula to Find Lowest Common Multiple of 993,866,589,904

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.

993 x 866 x 589 x 904 = 457879147728

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.

993 : 1, 3, 331, 993

866 : 1, 2, 433, 866

589 : 1, 19, 31, 589

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,866,589,904, is 1.

Now, the common factors can be found like this.

993:3x 331

866:2x 433

589:19x 31

904:2x 2x 2x 113

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

2 = 2

Therefore, the value for common factors is 2.

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 = 457879147728/(1x2)

LCM = 457879147728/2

LCM = 228939573864

Thus, we can understand that the LCM of 993,866,589,904 is 228939573864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 866, 589, 904

1. What is the LCM of 993, 866, 589, 904?

Answer: LCM of 993, 866, 589, 904 is 228939573864.

2. How to calculate the LCM of 993, 866, 589, 904?

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 993, 866, 589, 904.

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}.