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LCM of 622, 768, 787, 391

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


Find the LCM of 622, 768, 787, 391 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 622, 768, 787, 391. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 622,768,787,391

Given numbers are 622,768,787,391

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

The LCM of 622,768,787,391 is 73497590016.

Find LCM of 622,768,787,391 with Prime Factorization


2 622, 768, 787, 391
311, 384, 787, 391

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

2 x 311 x 384 x 787 x 391 = 73497590016

Therefore, the lowest common multiple of 622,768,787,391 is 73497590016.

LCM Formula to Find Lowest Common Multiple of 622,768,787,391

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.

622 x 768 x 787 x 391 = 146995180032

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.

622 : 1, 2, 311, 622

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

787 : 1, 787

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,768,787,391, is 1.

Now, the common factors can be found like this.

622:2x 311

768:2x 2x 2x 2x 2x 2x 2x 2x 3

787:787

391:17x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 146995180032/(1x2)

LCM = 146995180032/2

LCM = 73497590016

Thus, we can understand that the LCM of 622,768,787,391 is 73497590016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 622, 768, 787, 391

1. What is the LCM of 622, 768, 787, 391?

Answer: LCM of 622, 768, 787, 391 is 73497590016.

2. How to calculate the LCM of 622, 768, 787, 391?

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 622, 768, 787, 391.

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}.