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LCM of 71, 923, 864

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


Find the LCM of 71, 923, 864 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 71, 923, 864. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 71,923,864

Given numbers are 71,923,864

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

The LCM of 71,923,864 is 797472.

Find LCM of 71,923,864 with Prime Factorization


71 71, 923, 864
1, 13, 864

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

71 x 1 x 13 x 864 = 797472

Therefore, the lowest common multiple of 71,923,864 is 797472.

LCM Formula to Find Lowest Common Multiple of 71,923,864

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.

71 x 923 x 864 = 56620512

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.

71 : 1, 71

923 : 1, 13, 71, 923

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 71,923,864, is 1.

Now, the common factors can be found like this.

71:71

923:13x 71

864:2x 2x 2x 2x 2x 3x 3x 3

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

71 = 71

Therefore, the value for common factors is 71.

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 = 56620512/(1x71)

LCM = 56620512/71

LCM = 797472

Thus, we can understand that the LCM of 71,923,864 is 797472.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 71, 923, 864

1. What is the LCM of 71, 923, 864?

Answer: LCM of 71, 923, 864 is 797472.

2. How to calculate the LCM of 71, 923, 864?

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 71, 923, 864.

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}.