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LCM of 819, 375, 483, 420, 322

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


Find the LCM of 819, 375, 483, 420, 322 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, 375, 483, 420, 322. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 819,375,483,420,322

Given numbers are 819,375,483,420,322

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

The LCM of 819,375,483,420,322 is 9418500.

Find LCM of 819,375,483,420,322 with Prime Factorization


2 819, 375, 483, 420, 322
3 819, 375, 483, 210, 161
5 273, 125, 161, 70, 161
7 273, 25, 161, 14, 161
23 39, 25, 23, 2, 23
39, 25, 1, 2, 1

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

2 x 3 x 5 x 7 x 23 x 39 x 25 x 1 x 2 x 1 = 9418500

Therefore, the lowest common multiple of 819,375,483,420,322 is 9418500.

LCM Formula to Find Lowest Common Multiple of 819,375,483,420,322

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 375 x 483 x 420 x 322 = 20061687555000

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

375 : 1, 3, 5, 15, 25, 75, 125, 375

483 : 1, 3, 7, 21, 23, 69, 161, 483

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,375,483,420,322, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

375:3x 5x 5x 5

483:3x 7x 23

420:2x 2x 3x 5x 7

322:2x 7x 23

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 3x 5x 7x 7x 7x 23 = 2130030

Therefore, the value for common factors is 2130030.

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 = 20061687555000/(1x2130030)

LCM = 20061687555000/2130030

LCM = 9418500

Thus, we can understand that the LCM of 819,375,483,420,322 is 9418500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 819, 375, 483, 420, 322

1. What is the LCM of 819, 375, 483, 420, 322?

Answer: LCM of 819, 375, 483, 420, 322 is 9418500.

2. How to calculate the LCM of 819, 375, 483, 420, 322?

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, 375, 483, 420, 322.

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}.