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LCM of 111, 753, 859, 667, 143

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


Find the LCM of 111, 753, 859, 667, 143 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 111, 753, 859, 667, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 111,753,859,667,143

Given numbers are 111,753,859,667,143

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

The LCM of 111,753,859,667,143 is 2282715225219.

Find LCM of 111,753,859,667,143 with Prime Factorization


3 111, 753, 859, 667, 143
37, 251, 859, 667, 143

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

3 x 37 x 251 x 859 x 667 x 143 = 2282715225219

Therefore, the lowest common multiple of 111,753,859,667,143 is 2282715225219.

LCM Formula to Find Lowest Common Multiple of 111,753,859,667,143

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.

111 x 753 x 859 x 667 x 143 = 6848145675657

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.

111 : 1, 3, 37, 111

753 : 1, 3, 251, 753

859 : 1, 859

667 : 1, 23, 29, 667

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,753,859,667,143, is 1.

Now, the common factors can be found like this.

111:3x 37

753:3x 251

859:859

667:23x 29

143:11x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 6848145675657/(1x3)

LCM = 6848145675657/3

LCM = 2282715225219

Thus, we can understand that the LCM of 111,753,859,667,143 is 2282715225219.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 111, 753, 859, 667, 143

1. What is the LCM of 111, 753, 859, 667, 143?

Answer: LCM of 111, 753, 859, 667, 143 is 2282715225219.

2. How to calculate the LCM of 111, 753, 859, 667, 143?

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 111, 753, 859, 667, 143.

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}.