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LCM of 737, 676, 283, 819

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


Find the LCM of 737, 676, 283, 819 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 737, 676, 283, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 737,676,283,819

Given numbers are 737,676,283,819

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

The LCM of 737,676,283,819 is 8882621748.

Find LCM of 737,676,283,819 with Prime Factorization


13 737, 676, 283, 819
737, 52, 283, 63

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

13 x 737 x 52 x 283 x 63 = 8882621748

Therefore, the lowest common multiple of 737,676,283,819 is 8882621748.

LCM Formula to Find Lowest Common Multiple of 737,676,283,819

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.

737 x 676 x 283 x 819 = 115474082724

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.

737 : 1, 11, 67, 737

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

283 : 1, 283

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,676,283,819, is 1.

Now, the common factors can be found like this.

737:11x 67

676:2x 2x 13x 13

283:283

819:3x 3x 7x 13

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 = 115474082724/(1x13)

LCM = 115474082724/13

LCM = 8882621748

Thus, we can understand that the LCM of 737,676,283,819 is 8882621748.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 737, 676, 283, 819

1. What is the LCM of 737, 676, 283, 819?

Answer: LCM of 737, 676, 283, 819 is 8882621748.

2. How to calculate the LCM of 737, 676, 283, 819?

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 737, 676, 283, 819.

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}.