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LCM of 819, 323, 703, 522, 453

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


Find the LCM of 819, 323, 703, 522, 453 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 819, 323, 703, 522, 453. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 819,323,703,522,453

Given numbers are 819,323,703,522,453

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

The LCM of 819,323,703,522,453 is 85722156702.

Find LCM of 819,323,703,522,453 with Prime Factorization


3 819, 323, 703, 522, 453
3 273, 323, 703, 174, 151
19 91, 323, 703, 58, 151
91, 17, 37, 58, 151

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

3 x 3 x 19 x 91 x 17 x 37 x 58 x 151 = 85722156702

Therefore, the lowest common multiple of 819,323,703,522,453 is 85722156702.

LCM Formula to Find Lowest Common Multiple of 819,323,703,522,453

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.

819 x 323 x 703 x 522 x 453 = 43975466388126

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

323 : 1, 17, 19, 323

703 : 1, 19, 37, 703

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

453 : 1, 3, 151, 453

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,323,703,522,453, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

323:17x 19

703:19x 37

522:2x 3x 3x 29

453:3x 151

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

3x 3x 3x 19 = 513

Therefore, the value for common factors is 513.

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 = 43975466388126/(1x513)

LCM = 43975466388126/513

LCM = 85722156702

Thus, we can understand that the LCM of 819,323,703,522,453 is 85722156702.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 819, 323, 703, 522, 453

1. What is the LCM of 819, 323, 703, 522, 453?

Answer: LCM of 819, 323, 703, 522, 453 is 85722156702.

2. How to calculate the LCM of 819, 323, 703, 522, 453?

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 819, 323, 703, 522, 453.

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}.