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LCM of 951, 933, 933, 561, 372

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


Find the LCM of 951, 933, 933, 561, 372 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 951, 933, 933, 561, 372. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 951,933,933,561,372

Given numbers are 951,933,933,561,372

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

The LCM of 951,933,933,561,372 is 6858106068.

Find LCM of 951,933,933,561,372 with Prime Factorization


3 951, 933, 933, 561, 372
311 317, 311, 311, 187, 124
317, 1, 1, 187, 124

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

3 x 311 x 317 x 1 x 1 x 187 x 124 = 6858106068

Therefore, the lowest common multiple of 951,933,933,561,372 is 6858106068.

LCM Formula to Find Lowest Common Multiple of 951,933,933,561,372

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.

951 x 933 x 933 x 561 x 372 = 172762549958988

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.

951 : 1, 3, 317, 951

933 : 1, 3, 311, 933

933 : 1, 3, 311, 933

561 : 1, 3, 11, 17, 33, 51, 187, 561

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,933,933,561,372, is 3.

Now, the common factors can be found like this.

951:3x 317

933:3x 311

933:3x 311

561:3x 11x 17

372:2x 2x 3x 31

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 3x 311 = 8397

Therefore, the value for common factors is 8397.

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 = 172762549958988/(3x8397)

LCM = 172762549958988/25191

LCM = 6858106068

Thus, we can understand that the LCM of 951,933,933,561,372 is 6858106068.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 951, 933, 933, 561, 372

1. What is the LCM of 951, 933, 933, 561, 372?

Answer: LCM of 951, 933, 933, 561, 372 is 6858106068.

2. How to calculate the LCM of 951, 933, 933, 561, 372?

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 951, 933, 933, 561, 372.

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}.