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LCM of 107, 886, 659, 501, 501

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


Find the LCM of 107, 886, 659, 501, 501 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 107, 886, 659, 501, 501. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 107,886,659,501,501

Given numbers are 107,886,659,501,501

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

The LCM of 107,886,659,501,501 is 31299733518.

Find LCM of 107,886,659,501,501 with Prime Factorization


3 107, 886, 659, 501, 501
167 107, 886, 659, 167, 167
107, 886, 659, 1, 1

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

3 x 167 x 107 x 886 x 659 x 1 x 1 = 31299733518

Therefore, the lowest common multiple of 107,886,659,501,501 is 31299733518.

LCM Formula to Find Lowest Common Multiple of 107,886,659,501,501

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.

107 x 886 x 659 x 501 x 501 = 15681166492518

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.

107 : 1, 107

886 : 1, 2, 443, 886

659 : 1, 659

501 : 1, 3, 167, 501

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,886,659,501,501, is 1.

Now, the common factors can be found like this.

107:107

886:2x 443

659:659

501:3x 167

501:3x 167

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

3x 167 = 501

Therefore, the value for common factors is 501.

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 = 15681166492518/(1x501)

LCM = 15681166492518/501

LCM = 31299733518

Thus, we can understand that the LCM of 107,886,659,501,501 is 31299733518.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 107, 886, 659, 501, 501

1. What is the LCM of 107, 886, 659, 501, 501?

Answer: LCM of 107, 886, 659, 501, 501 is 31299733518.

2. How to calculate the LCM of 107, 886, 659, 501, 501?

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 107, 886, 659, 501, 501.

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}.