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LCM of 727, 831, 438, 146, 439

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


Find the LCM of 727, 831, 438, 146, 439 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 727, 831, 438, 146, 439. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 727,831,438,146,439

Given numbers are 727,831,438,146,439

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

The LCM of 727,831,438,146,439 is 38721556878.

Find LCM of 727,831,438,146,439 with Prime Factorization


2 727, 831, 438, 146, 439
3 727, 831, 219, 73, 439
73 727, 277, 73, 73, 439
727, 277, 1, 1, 439

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

2 x 3 x 73 x 727 x 277 x 1 x 1 x 439 = 38721556878

Therefore, the lowest common multiple of 727,831,438,146,439 is 38721556878.

LCM Formula to Find Lowest Common Multiple of 727,831,438,146,439

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.

727 x 831 x 438 x 146 x 439 = 16960041912564

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.

727 : 1, 727

831 : 1, 3, 277, 831

438 : 1, 2, 3, 6, 73, 146, 219, 438

146 : 1, 2, 73, 146

439 : 1, 439

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,831,438,146,439, is 1.

Now, the common factors can be found like this.

727:727

831:3x 277

438:2x 3x 73

146:2x 73

439:439

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

2x 3x 73 = 438

Therefore, the value for common factors is 438.

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 = 16960041912564/(1x438)

LCM = 16960041912564/438

LCM = 38721556878

Thus, we can understand that the LCM of 727,831,438,146,439 is 38721556878.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 727, 831, 438, 146, 439

1. What is the LCM of 727, 831, 438, 146, 439?

Answer: LCM of 727, 831, 438, 146, 439 is 38721556878.

2. How to calculate the LCM of 727, 831, 438, 146, 439?

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 727, 831, 438, 146, 439.

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}.