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LCM of 558, 396, 807, 891, 933

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


Find the LCM of 558, 396, 807, 891, 933 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 558, 396, 807, 891, 933. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 558,396,807,891,933

Given numbers are 558,396,807,891,933

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

The LCM of 558,396,807,891,933 is 9242980956.

Find LCM of 558,396,807,891,933 with Prime Factorization


2 558, 396, 807, 891, 933
3 279, 198, 807, 891, 933
3 93, 66, 269, 297, 311
11 31, 22, 269, 99, 311
31, 2, 269, 9, 311

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

2 x 3 x 3 x 11 x 31 x 2 x 269 x 9 x 311 = 9242980956

Therefore, the lowest common multiple of 558,396,807,891,933 is 9242980956.

LCM Formula to Find Lowest Common Multiple of 558,396,807,891,933

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.

558 x 396 x 807 x 891 x 933 = 148238928572328

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.

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

807 : 1, 3, 269, 807

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

933 : 1, 3, 311, 933

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,396,807,891,933, is 3.

Now, the common factors can be found like this.

558:2x 3x 3x 31

396:2x 2x 3x 3x 11

807:3x 269

891:3x 3x 3x 3x 11

933:3x 311

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 3x 3x 3x 3x 11 = 5346

Therefore, the value for common factors is 5346.

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 = 148238928572328/(3x5346)

LCM = 148238928572328/16038

LCM = 9242980956

Thus, we can understand that the LCM of 558,396,807,891,933 is 9242980956.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 558, 396, 807, 891, 933

1. What is the LCM of 558, 396, 807, 891, 933?

Answer: LCM of 558, 396, 807, 891, 933 is 9242980956.

2. How to calculate the LCM of 558, 396, 807, 891, 933?

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 558, 396, 807, 891, 933.

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}.