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LCM of 983, 198, 542, 939, 165

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


Find the LCM of 983, 198, 542, 939, 165 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 983, 198, 542, 939, 165. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 983,198,542,939,165

Given numbers are 983,198,542,939,165

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

The LCM of 983,198,542,939,165 is 82547198910.

Find LCM of 983,198,542,939,165 with Prime Factorization


2 983, 198, 542, 939, 165
3 983, 99, 271, 939, 165
11 983, 33, 271, 313, 55
983, 3, 271, 313, 5

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

2 x 3 x 11 x 983 x 3 x 271 x 313 x 5 = 82547198910

Therefore, the lowest common multiple of 983,198,542,939,165 is 82547198910.

LCM Formula to Find Lowest Common Multiple of 983,198,542,939,165

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.

983 x 198 x 542 x 939 x 165 = 16344345384180

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.

983 : 1, 983

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

542 : 1, 2, 271, 542

939 : 1, 3, 313, 939

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,198,542,939,165, is 1.

Now, the common factors can be found like this.

983:983

198:2x 3x 3x 11

542:2x 271

939:3x 313

165:3x 5x 11

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 11 = 198

Therefore, the value for common factors is 198.

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 = 16344345384180/(1x198)

LCM = 16344345384180/198

LCM = 82547198910

Thus, we can understand that the LCM of 983,198,542,939,165 is 82547198910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 983, 198, 542, 939, 165

1. What is the LCM of 983, 198, 542, 939, 165?

Answer: LCM of 983, 198, 542, 939, 165 is 82547198910.

2. How to calculate the LCM of 983, 198, 542, 939, 165?

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 983, 198, 542, 939, 165.

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}.