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LCM of 983, 759, 583, 841

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


Find the LCM of 983, 759, 583, 841 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, 759, 583, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 983,759,583,841

Given numbers are 983,759,583,841

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

The LCM of 983,759,583,841 is 33255781581.

Find LCM of 983,759,583,841 with Prime Factorization


11 983, 759, 583, 841
983, 69, 53, 841

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

11 x 983 x 69 x 53 x 841 = 33255781581

Therefore, the lowest common multiple of 983,759,583,841 is 33255781581.

LCM Formula to Find Lowest Common Multiple of 983,759,583,841

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 759 x 583 x 841 = 365813597391

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

583 : 1, 11, 53, 583

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,759,583,841, is 1.

Now, the common factors can be found like this.

983:983

759:3x 11x 23

583:11x 53

841:29x 29

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

11 = 11

Therefore, the value for common factors is 11.

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 = 365813597391/(1x11)

LCM = 365813597391/11

LCM = 33255781581

Thus, we can understand that the LCM of 983,759,583,841 is 33255781581.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 983, 759, 583, 841

1. What is the LCM of 983, 759, 583, 841?

Answer: LCM of 983, 759, 583, 841 is 33255781581.

2. How to calculate the LCM of 983, 759, 583, 841?

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, 759, 583, 841.

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}.