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LCM of 279, 720, 781, 814, 923

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


Find the LCM of 279, 720, 781, 814, 923 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 279, 720, 781, 814, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 279,720,781,814,923

Given numbers are 279,720,781,814,923

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

The LCM of 279,720,781,814,923 is 8384753520.

Find LCM of 279,720,781,814,923 with Prime Factorization


2 279, 720, 781, 814, 923
3 279, 360, 781, 407, 923
3 93, 120, 781, 407, 923
11 31, 40, 781, 407, 923
71 31, 40, 71, 37, 923
31, 40, 1, 37, 13

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

2 x 3 x 3 x 11 x 71 x 31 x 40 x 1 x 37 x 13 = 8384753520

Therefore, the lowest common multiple of 279,720,781,814,923 is 8384753520.

LCM Formula to Find Lowest Common Multiple of 279,720,781,814,923

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.

279 x 720 x 781 x 814 x 923 = 117872864984160

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.

279 : 1, 3, 9, 31, 93, 279

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

781 : 1, 11, 71, 781

814 : 1, 2, 11, 22, 37, 74, 407, 814

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,720,781,814,923, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

720:2x 2x 2x 2x 3x 3x 5

781:11x 71

814:2x 11x 37

923:13x 71

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

2x 3x 3x 11x 71 = 14058

Therefore, the value for common factors is 14058.

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 = 117872864984160/(1x14058)

LCM = 117872864984160/14058

LCM = 8384753520

Thus, we can understand that the LCM of 279,720,781,814,923 is 8384753520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 279, 720, 781, 814, 923

1. What is the LCM of 279, 720, 781, 814, 923?

Answer: LCM of 279, 720, 781, 814, 923 is 8384753520.

2. How to calculate the LCM of 279, 720, 781, 814, 923?

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 279, 720, 781, 814, 923.

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}.