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LCM of 864, 407, 733, 333

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


Find the LCM of 864, 407, 733, 333 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, 407, 733, 333. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 864,407,733,333

Given numbers are 864,407,733,333

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

The LCM of 864,407,733,333 is 257757984.

Find LCM of 864,407,733,333 with Prime Factorization


3 864, 407, 733, 333
3 288, 407, 733, 111
37 96, 407, 733, 37
96, 11, 733, 1

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

3 x 3 x 37 x 96 x 11 x 733 x 1 = 257757984

Therefore, the lowest common multiple of 864,407,733,333 is 257757984.

LCM Formula to Find Lowest Common Multiple of 864,407,733,333

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 407 x 733 x 333 = 85833408672

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

407 : 1, 11, 37, 407

733 : 1, 733

333 : 1, 3, 9, 37, 111, 333

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,407,733,333, is 1.

Now, the common factors can be found like this.

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

407:11x 37

733:733

333:3x 3x 37

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

3x 3x 37 = 333

Therefore, the value for common factors is 333.

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 = 85833408672/(1x333)

LCM = 85833408672/333

LCM = 257757984

Thus, we can understand that the LCM of 864,407,733,333 is 257757984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 864, 407, 733, 333

1. What is the LCM of 864, 407, 733, 333?

Answer: LCM of 864, 407, 733, 333 is 257757984.

2. How to calculate the LCM of 864, 407, 733, 333?

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, 407, 733, 333.

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}.