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LCM of 982, 933, 594, 404

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


Find the LCM of 982, 933, 594, 404 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 982, 933, 594, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 982,933,594,404

Given numbers are 982,933,594,404

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

The LCM of 982,933,594,404 is 18322287588.

Find LCM of 982,933,594,404 with Prime Factorization


2 982, 933, 594, 404
3 491, 933, 297, 202
491, 311, 99, 202

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

2 x 3 x 491 x 311 x 99 x 202 = 18322287588

Therefore, the lowest common multiple of 982,933,594,404 is 18322287588.

LCM Formula to Find Lowest Common Multiple of 982,933,594,404

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.

982 x 933 x 594 x 404 = 219867451056

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.

982 : 1, 2, 491, 982

933 : 1, 3, 311, 933

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,933,594,404, is 1.

Now, the common factors can be found like this.

982:2x 491

933:3x 311

594:2x 3x 3x 3x 11

404:2x 2x 101

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 219867451056/(1x12)

LCM = 219867451056/12

LCM = 18322287588

Thus, we can understand that the LCM of 982,933,594,404 is 18322287588.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 982, 933, 594, 404

1. What is the LCM of 982, 933, 594, 404?

Answer: LCM of 982, 933, 594, 404 is 18322287588.

2. How to calculate the LCM of 982, 933, 594, 404?

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 982, 933, 594, 404.

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}.