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LCM of 928, 309, 871, 175, 143

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


Find the LCM of 928, 309, 871, 175, 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 928, 309, 871, 175, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 928,309,871,175,143

Given numbers are 928,309,871,175,143

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

The LCM of 928,309,871,175,143 is 480789909600.

Find LCM of 928,309,871,175,143 with Prime Factorization


13 928, 309, 871, 175, 143
928, 309, 67, 175, 11

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

13 x 928 x 309 x 67 x 175 x 11 = 480789909600

Therefore, the lowest common multiple of 928,309,871,175,143 is 480789909600.

LCM Formula to Find Lowest Common Multiple of 928,309,871,175,143

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.

928 x 309 x 871 x 175 x 143 = 6250268824800

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

309 : 1, 3, 103, 309

871 : 1, 13, 67, 871

175 : 1, 5, 7, 25, 35, 175

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,309,871,175,143, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

309:3x 103

871:13x 67

175:5x 5x 7

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 6250268824800/(1x13)

LCM = 6250268824800/13

LCM = 480789909600

Thus, we can understand that the LCM of 928,309,871,175,143 is 480789909600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 928, 309, 871, 175, 143

1. What is the LCM of 928, 309, 871, 175, 143?

Answer: LCM of 928, 309, 871, 175, 143 is 480789909600.

2. How to calculate the LCM of 928, 309, 871, 175, 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 928, 309, 871, 175, 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}.