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LCM of 819, 933, 655, 948

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


Find the LCM of 819, 933, 655, 948 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, 933, 655, 948. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 819,933,655,948

Given numbers are 819,933,655,948

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

The LCM of 819,933,655,948 is 52719668820.

Find LCM of 819,933,655,948 with Prime Factorization


3 819, 933, 655, 948
273, 311, 655, 316

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

3 x 273 x 311 x 655 x 316 = 52719668820

Therefore, the lowest common multiple of 819,933,655,948 is 52719668820.

LCM Formula to Find Lowest Common Multiple of 819,933,655,948

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 933 x 655 x 948 = 474477019380

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

933 : 1, 3, 311, 933

655 : 1, 5, 131, 655

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,933,655,948, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

933:3x 311

655:5x 131

948:2x 2x 3x 79

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 474477019380/(1x9)

LCM = 474477019380/9

LCM = 52719668820

Thus, we can understand that the LCM of 819,933,655,948 is 52719668820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 819, 933, 655, 948

1. What is the LCM of 819, 933, 655, 948?

Answer: LCM of 819, 933, 655, 948 is 52719668820.

2. How to calculate the LCM of 819, 933, 655, 948?

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, 933, 655, 948.

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}.