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LCM of 669, 689, 923, 667, 581

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


Find the LCM of 669, 689, 923, 667, 581 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 669, 689, 923, 667, 581. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,689,923,667,581

Given numbers are 669,689,923,667,581

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

The LCM of 669,689,923,667,581 is 12682522886397.

Find LCM of 669,689,923,667,581 with Prime Factorization


13 669, 689, 923, 667, 581
669, 53, 71, 667, 581

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

13 x 669 x 53 x 71 x 667 x 581 = 12682522886397

Therefore, the lowest common multiple of 669,689,923,667,581 is 12682522886397.

LCM Formula to Find Lowest Common Multiple of 669,689,923,667,581

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.

669 x 689 x 923 x 667 x 581 = 164872797523161

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.

669 : 1, 3, 223, 669

689 : 1, 13, 53, 689

923 : 1, 13, 71, 923

667 : 1, 23, 29, 667

581 : 1, 7, 83, 581

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,689,923,667,581, is 1.

Now, the common factors can be found like this.

669:3x 223

689:13x 53

923:13x 71

667:23x 29

581:7x 83

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 = 164872797523161/(1x13)

LCM = 164872797523161/13

LCM = 12682522886397

Thus, we can understand that the LCM of 669,689,923,667,581 is 12682522886397.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 669, 689, 923, 667, 581

1. What is the LCM of 669, 689, 923, 667, 581?

Answer: LCM of 669, 689, 923, 667, 581 is 12682522886397.

2. How to calculate the LCM of 669, 689, 923, 667, 581?

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 669, 689, 923, 667, 581.

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}.