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LCM of 933, 302, 331, 691, 782

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


Find the LCM of 933, 302, 331, 691, 782 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, 302, 331, 691, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 933,302,331,691,782

Given numbers are 933,302,331,691,782

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

The LCM of 933,302,331,691,782 is 25198308302826.

Find LCM of 933,302,331,691,782 with Prime Factorization


2 933, 302, 331, 691, 782
933, 151, 331, 691, 391

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

2 x 933 x 151 x 331 x 691 x 391 = 25198308302826

Therefore, the lowest common multiple of 933,302,331,691,782 is 25198308302826.

LCM Formula to Find Lowest Common Multiple of 933,302,331,691,782

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 302 x 331 x 691 x 782 = 50396616605652

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

302 : 1, 2, 151, 302

331 : 1, 331

691 : 1, 691

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,302,331,691,782, is 1.

Now, the common factors can be found like this.

933:3x 311

302:2x 151

331:331

691:691

782:2x 17x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 50396616605652/(1x2)

LCM = 50396616605652/2

LCM = 25198308302826

Thus, we can understand that the LCM of 933,302,331,691,782 is 25198308302826.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 933, 302, 331, 691, 782

1. What is the LCM of 933, 302, 331, 691, 782?

Answer: LCM of 933, 302, 331, 691, 782 is 25198308302826.

2. How to calculate the LCM of 933, 302, 331, 691, 782?

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, 302, 331, 691, 782.

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}.