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LCM of 214, 184, 993, 989

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


Find the LCM of 214, 184, 993, 989 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 214, 184, 993, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 214,184,993,989

Given numbers are 214,184,993,989

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

The LCM of 214,184,993,989 is 840657912.

Find LCM of 214,184,993,989 with Prime Factorization


2 214, 184, 993, 989
23 107, 92, 993, 989
107, 4, 993, 43

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

2 x 23 x 107 x 4 x 993 x 43 = 840657912

Therefore, the lowest common multiple of 214,184,993,989 is 840657912.

LCM Formula to Find Lowest Common Multiple of 214,184,993,989

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.

214 x 184 x 993 x 989 = 38670263952

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.

214 : 1, 2, 107, 214

184 : 1, 2, 4, 8, 23, 46, 92, 184

993 : 1, 3, 331, 993

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,184,993,989, is 1.

Now, the common factors can be found like this.

214:2x 107

184:2x 2x 2x 23

993:3x 331

989:23x 43

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 38670263952/(1x46)

LCM = 38670263952/46

LCM = 840657912

Thus, we can understand that the LCM of 214,184,993,989 is 840657912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 214, 184, 993, 989

1. What is the LCM of 214, 184, 993, 989?

Answer: LCM of 214, 184, 993, 989 is 840657912.

2. How to calculate the LCM of 214, 184, 993, 989?

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 214, 184, 993, 989.

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}.