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LCM of 31, 579, 387

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


Find the LCM of 31, 579, 387 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 31, 579, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 31,579,387

Given numbers are 31,579,387

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

The LCM of 31,579,387 is 2315421.

Find LCM of 31,579,387 with Prime Factorization


3 31, 579, 387
31, 193, 129

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

3 x 31 x 193 x 129 = 2315421

Therefore, the lowest common multiple of 31,579,387 is 2315421.

LCM Formula to Find Lowest Common Multiple of 31,579,387

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.

31 x 579 x 387 = 6946263

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.

31 : 1, 31

579 : 1, 3, 193, 579

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 31,579,387, is 1.

Now, the common factors can be found like this.

31:31

579:3x 193

387:3x 3x 43

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 = 6946263/(1x3)

LCM = 6946263/3

LCM = 2315421

Thus, we can understand that the LCM of 31,579,387 is 2315421.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 31, 579, 387

1. What is the LCM of 31, 579, 387?

Answer: LCM of 31, 579, 387 is 2315421.

2. How to calculate the LCM of 31, 579, 387?

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 31, 579, 387.

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}.