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LCM of 864, 694, 882, 394

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


Find the LCM of 864, 694, 882, 394 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, 694, 882, 394. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 864,694,882,394

Given numbers are 864,694,882,394

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

The LCM of 864,694,882,394 is 2894046624.

Find LCM of 864,694,882,394 with Prime Factorization


2 864, 694, 882, 394
3 432, 347, 441, 197
3 144, 347, 147, 197
48, 347, 49, 197

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

2 x 3 x 3 x 48 x 347 x 49 x 197 = 2894046624

Therefore, the lowest common multiple of 864,694,882,394 is 2894046624.

LCM Formula to Find Lowest Common Multiple of 864,694,882,394

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 694 x 882 x 394 = 208371356928

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

694 : 1, 2, 347, 694

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

394 : 1, 2, 197, 394

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,694,882,394, is 2.

Now, the common factors can be found like this.

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

694:2x 347

882:2x 3x 3x 7x 7

394:2x 197

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 208371356928/(2x36)

LCM = 208371356928/72

LCM = 2894046624

Thus, we can understand that the LCM of 864,694,882,394 is 2894046624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 864, 694, 882, 394

1. What is the LCM of 864, 694, 882, 394?

Answer: LCM of 864, 694, 882, 394 is 2894046624.

2. How to calculate the LCM of 864, 694, 882, 394?

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, 694, 882, 394.

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}.