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LCM of 864, 660, 112, 804

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


Find the LCM of 864, 660, 112, 804 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, 660, 112, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 864,660,112,804

Given numbers are 864,660,112,804

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

The LCM of 864,660,112,804 is 22286880.

Find LCM of 864,660,112,804 with Prime Factorization


2 864, 660, 112, 804
2 432, 330, 56, 402
2 216, 165, 28, 201
2 108, 165, 14, 201
3 54, 165, 7, 201
18, 55, 7, 67

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

2 x 2 x 2 x 2 x 3 x 18 x 55 x 7 x 67 = 22286880

Therefore, the lowest common multiple of 864,660,112,804 is 22286880.

LCM Formula to Find Lowest Common Multiple of 864,660,112,804

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 660 x 112 x 804 = 51348971520

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,660,112,804, is 4.

Now, the common factors can be found like this.

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

660:2x 2x 3x 5x 11

112:2x 2x 2x 2x 7

804:2x 2x 3x 67

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 2x 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 51348971520/(4x576)

LCM = 51348971520/2304

LCM = 22286880

Thus, we can understand that the LCM of 864,660,112,804 is 22286880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 864, 660, 112, 804

1. What is the LCM of 864, 660, 112, 804?

Answer: LCM of 864, 660, 112, 804 is 22286880.

2. How to calculate the LCM of 864, 660, 112, 804?

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, 660, 112, 804.

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}.