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LCM of 845, 459, 521, 993

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


Find the LCM of 845, 459, 521, 993 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 845, 459, 521, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,459,521,993

Given numbers are 845,459,521,993

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

The LCM of 845,459,521,993 is 66885982605.

Find LCM of 845,459,521,993 with Prime Factorization


3 845, 459, 521, 993
845, 153, 521, 331

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

3 x 845 x 153 x 521 x 331 = 66885982605

Therefore, the lowest common multiple of 845,459,521,993 is 66885982605.

LCM Formula to Find Lowest Common Multiple of 845,459,521,993

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.

845 x 459 x 521 x 993 = 200657947815

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.

845 : 1, 5, 13, 65, 169, 845

459 : 1, 3, 9, 17, 27, 51, 153, 459

521 : 1, 521

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,459,521,993, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

459:3x 3x 3x 17

521:521

993:3x 331

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

3 = 3

Therefore, the value for common factors is 3.

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 = 200657947815/(1x3)

LCM = 200657947815/3

LCM = 66885982605

Thus, we can understand that the LCM of 845,459,521,993 is 66885982605.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 845, 459, 521, 993

1. What is the LCM of 845, 459, 521, 993?

Answer: LCM of 845, 459, 521, 993 is 66885982605.

2. How to calculate the LCM of 845, 459, 521, 993?

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 845, 459, 521, 993.

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}.