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LCM of 819, 805, 780, 338

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


Find the LCM of 819, 805, 780, 338 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, 805, 780, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 819,805,780,338

Given numbers are 819,805,780,338

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

The LCM of 819,805,780,338 is 4897620.

Find LCM of 819,805,780,338 with Prime Factorization


2 819, 805, 780, 338
3 819, 805, 390, 169
5 273, 805, 130, 169
7 273, 161, 26, 169
13 39, 23, 26, 169
3, 23, 2, 13

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

2 x 3 x 5 x 7 x 13 x 3 x 23 x 2 x 13 = 4897620

Therefore, the lowest common multiple of 819,805,780,338 is 4897620.

LCM Formula to Find Lowest Common Multiple of 819,805,780,338

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 805 x 780 x 338 = 173816533800

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

805 : 1, 5, 7, 23, 35, 115, 161, 805

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,805,780,338, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

805:5x 7x 23

780:2x 2x 3x 5x 13

338:2x 13x 13

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 5x 7x 13x 13 = 35490

Therefore, the value for common factors is 35490.

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 = 173816533800/(1x35490)

LCM = 173816533800/35490

LCM = 4897620

Thus, we can understand that the LCM of 819,805,780,338 is 4897620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 819, 805, 780, 338

1. What is the LCM of 819, 805, 780, 338?

Answer: LCM of 819, 805, 780, 338 is 4897620.

2. How to calculate the LCM of 819, 805, 780, 338?

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, 805, 780, 338.

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}.