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LCM of 786, 664, 928, 388

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


Find the LCM of 786, 664, 928, 388 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 786, 664, 928, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 786,664,928,388

Given numbers are 786,664,928,388

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

The LCM of 786,664,928,388 is 2936231904.

Find LCM of 786,664,928,388 with Prime Factorization


2 786, 664, 928, 388
2 393, 332, 464, 194
2 393, 166, 232, 97
393, 83, 116, 97

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

2 x 2 x 2 x 393 x 83 x 116 x 97 = 2936231904

Therefore, the lowest common multiple of 786,664,928,388 is 2936231904.

LCM Formula to Find Lowest Common Multiple of 786,664,928,388

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.

786 x 664 x 928 x 388 = 187918841856

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

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

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

388 : 1, 2, 4, 97, 194, 388

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,664,928,388, is 2.

Now, the common factors can be found like this.

786:2x 3x 131

664:2x 2x 2x 83

928:2x 2x 2x 2x 2x 29

388:2x 2x 97

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

2x 2x 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 187918841856/(2x32)

LCM = 187918841856/64

LCM = 2936231904

Thus, we can understand that the LCM of 786,664,928,388 is 2936231904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 786, 664, 928, 388

1. What is the LCM of 786, 664, 928, 388?

Answer: LCM of 786, 664, 928, 388 is 2936231904.

2. How to calculate the LCM of 786, 664, 928, 388?

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 786, 664, 928, 388.

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}.