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LCM of 821, 815, 845, 605, 984

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


Find the LCM of 821, 815, 845, 605, 984 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 821, 815, 845, 605, 984. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,815,845,605,984

Given numbers are 821,815,845,605,984

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

The LCM of 821,815,845,605,984 is 13463808912840.

Find LCM of 821,815,845,605,984 with Prime Factorization


5 821, 815, 845, 605, 984
821, 163, 169, 121, 984

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

5 x 821 x 163 x 169 x 121 x 984 = 13463808912840

Therefore, the lowest common multiple of 821,815,845,605,984 is 13463808912840.

LCM Formula to Find Lowest Common Multiple of 821,815,845,605,984

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.

821 x 815 x 845 x 605 x 984 = 336595222821000

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.

821 : 1, 821

815 : 1, 5, 163, 815

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

605 : 1, 5, 11, 55, 121, 605

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,815,845,605,984, is 1.

Now, the common factors can be found like this.

821:821

815:5x 163

845:5x 13x 13

605:5x 11x 11

984:2x 2x 2x 3x 41

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 336595222821000/(1x25)

LCM = 336595222821000/25

LCM = 13463808912840

Thus, we can understand that the LCM of 821,815,845,605,984 is 13463808912840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 815, 845, 605, 984

1. What is the LCM of 821, 815, 845, 605, 984?

Answer: LCM of 821, 815, 845, 605, 984 is 13463808912840.

2. How to calculate the LCM of 821, 815, 845, 605, 984?

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 821, 815, 845, 605, 984.

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}.