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LCM of 864, 858, 247, 815

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


Find the LCM of 864, 858, 247, 815 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 864, 858, 247, 815. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 864,858,247,815

Given numbers are 864,858,247,815

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

The LCM of 864,858,247,815 is 1913202720.

Find LCM of 864,858,247,815 with Prime Factorization


2 864, 858, 247, 815
3 432, 429, 247, 815
13 144, 143, 247, 815
144, 11, 19, 815

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

2 x 3 x 13 x 144 x 11 x 19 x 815 = 1913202720

Therefore, the lowest common multiple of 864,858,247,815 is 1913202720.

LCM Formula to Find Lowest Common Multiple of 864,858,247,815

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.

864 x 858 x 247 x 815 = 149229812160

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.

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

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

247 : 1, 13, 19, 247

815 : 1, 5, 163, 815

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,858,247,815, is 1.

Now, the common factors can be found like this.

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

858:2x 3x 11x 13

247:13x 19

815:5x 163

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 13 = 78

Therefore, the value for common factors is 78.

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 = 149229812160/(1x78)

LCM = 149229812160/78

LCM = 1913202720

Thus, we can understand that the LCM of 864,858,247,815 is 1913202720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 864, 858, 247, 815

1. What is the LCM of 864, 858, 247, 815?

Answer: LCM of 864, 858, 247, 815 is 1913202720.

2. How to calculate the LCM of 864, 858, 247, 815?

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 864, 858, 247, 815.

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}.