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LCM of 372, 764, 718, 786, 928

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


Find the LCM of 372, 764, 718, 786, 928 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 372, 764, 718, 786, 928. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 372,764,718,786,928

Given numbers are 372,764,718,786,928

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

The LCM of 372,764,718,786,928 is 775229045856.

Find LCM of 372,764,718,786,928 with Prime Factorization


2 372, 764, 718, 786, 928
2 186, 382, 359, 393, 464
3 93, 191, 359, 393, 232
31, 191, 359, 131, 232

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

2 x 2 x 3 x 31 x 191 x 359 x 131 x 232 = 775229045856

Therefore, the lowest common multiple of 372,764,718,786,928 is 775229045856.

LCM Formula to Find Lowest Common Multiple of 372,764,718,786,928

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.

372 x 764 x 718 x 786 x 928 = 148843976804352

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.

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

764 : 1, 2, 4, 191, 382, 764

718 : 1, 2, 359, 718

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,764,718,786,928, is 2.

Now, the common factors can be found like this.

372:2x 2x 3x 31

764:2x 2x 191

718:2x 359

786:2x 3x 131

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

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 148843976804352/(2x96)

LCM = 148843976804352/192

LCM = 775229045856

Thus, we can understand that the LCM of 372,764,718,786,928 is 775229045856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 372, 764, 718, 786, 928

1. What is the LCM of 372, 764, 718, 786, 928?

Answer: LCM of 372, 764, 718, 786, 928 is 775229045856.

2. How to calculate the LCM of 372, 764, 718, 786, 928?

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 372, 764, 718, 786, 928.

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}.