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LCM of 247, 313, 664, 689, 819

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


Find the LCM of 247, 313, 664, 689, 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 247, 313, 664, 689, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,313,664,689,819

Given numbers are 247,313,664,689,819

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

The LCM of 247,313,664,689,819 is 171405908856.

Find LCM of 247,313,664,689,819 with Prime Factorization


13 247, 313, 664, 689, 819
19, 313, 664, 53, 63

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

13 x 19 x 313 x 664 x 53 x 63 = 171405908856

Therefore, the lowest common multiple of 247,313,664,689,819 is 171405908856.

LCM Formula to Find Lowest Common Multiple of 247,313,664,689,819

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.

247 x 313 x 664 x 689 x 819 = 28967598596664

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.

247 : 1, 13, 19, 247

313 : 1, 313

664 : 1, 2, 4, 8, 83, 166, 332, 664

689 : 1, 13, 53, 689

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 247,313,664,689,819, is 1.

Now, the common factors can be found like this.

247:13x 19

313:313

664:2x 2x 2x 83

689:13x 53

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.

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 28967598596664/(1x169)

LCM = 28967598596664/169

LCM = 171405908856

Thus, we can understand that the LCM of 247,313,664,689,819 is 171405908856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 313, 664, 689, 819

1. What is the LCM of 247, 313, 664, 689, 819?

Answer: LCM of 247, 313, 664, 689, 819 is 171405908856.

2. How to calculate the LCM of 247, 313, 664, 689, 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 247, 313, 664, 689, 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}.