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LCM of 819, 323, 377, 964

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


Find the LCM of 819, 323, 377, 964 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, 377, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 819,323,377,964

Given numbers are 819,323,377,964

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

The LCM of 819,323,377,964 is 7395396372.

Find LCM of 819,323,377,964 with Prime Factorization


13 819, 323, 377, 964
63, 323, 29, 964

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

13 x 63 x 323 x 29 x 964 = 7395396372

Therefore, the lowest common multiple of 819,323,377,964 is 7395396372.

LCM Formula to Find Lowest Common Multiple of 819,323,377,964

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 377 x 964 = 96140152836

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

377 : 1, 13, 29, 377

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,323,377,964, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

323:17x 19

377:13x 29

964:2x 2x 241

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

13 = 13

Therefore, the value for common factors is 13.

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 = 96140152836/(1x13)

LCM = 96140152836/13

LCM = 7395396372

Thus, we can understand that the LCM of 819,323,377,964 is 7395396372.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 819, 323, 377, 964

1. What is the LCM of 819, 323, 377, 964?

Answer: LCM of 819, 323, 377, 964 is 7395396372.

2. How to calculate the LCM of 819, 323, 377, 964?

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, 377, 964.

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}.