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LCM of 993, 417, 139

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


Find the LCM of 993, 417, 139 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, 417, 139. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,417,139

Given numbers are 993,417,139

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

The LCM of 993,417,139 is 138027.

Find LCM of 993,417,139 with Prime Factorization


3 993, 417, 139
139 331, 139, 139
331, 1, 1

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

3 x 139 x 331 x 1 x 1 = 138027

Therefore, the lowest common multiple of 993,417,139 is 138027.

LCM Formula to Find Lowest Common Multiple of 993,417,139

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 417 x 139 = 57557259

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

417 : 1, 3, 139, 417

139 : 1, 139

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,417,139, is 1.

Now, the common factors can be found like this.

993:3x 331

417:3x 139

139:139

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

3x 139 = 417

Therefore, the value for common factors is 417.

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 = 57557259/(1x417)

LCM = 57557259/417

LCM = 138027

Thus, we can understand that the LCM of 993,417,139 is 138027.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 993, 417, 139

1. What is the LCM of 993, 417, 139?

Answer: LCM of 993, 417, 139 is 138027.

2. How to calculate the LCM of 993, 417, 139?

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, 417, 139.

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}.