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LCM of 933, 417, 417, 807

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


Find the LCM of 933, 417, 417, 807 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 933, 417, 417, 807. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 933,417,417,807

Given numbers are 933,417,417,807

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

The LCM of 933,417,417,807 is 34885803.

Find LCM of 933,417,417,807 with Prime Factorization


3 933, 417, 417, 807
139 311, 139, 139, 269
311, 1, 1, 269

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

3 x 139 x 311 x 1 x 1 x 269 = 34885803

Therefore, the lowest common multiple of 933,417,417,807 is 34885803.

LCM Formula to Find Lowest Common Multiple of 933,417,417,807

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.

933 x 417 x 417 x 807 = 130926418659

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.

933 : 1, 3, 311, 933

417 : 1, 3, 139, 417

417 : 1, 3, 139, 417

807 : 1, 3, 269, 807

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,417,417,807, is 3.

Now, the common factors can be found like this.

933:3x 311

417:3x 139

417:3x 139

807:3x 269

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 139 = 1251

Therefore, the value for common factors is 1251.

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 = 130926418659/(3x1251)

LCM = 130926418659/3753

LCM = 34885803

Thus, we can understand that the LCM of 933,417,417,807 is 34885803.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 933, 417, 417, 807

1. What is the LCM of 933, 417, 417, 807?

Answer: LCM of 933, 417, 417, 807 is 34885803.

2. How to calculate the LCM of 933, 417, 417, 807?

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 933, 417, 417, 807.

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}.