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LCM of 393, 622, 823, 764

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


Find the LCM of 393, 622, 823, 764 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 393, 622, 823, 764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 393,622,823,764

Given numbers are 393,622,823,764

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

The LCM of 393,622,823,764 is 76850400156.

Find LCM of 393,622,823,764 with Prime Factorization


2 393, 622, 823, 764
393, 311, 823, 382

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

2 x 393 x 311 x 823 x 382 = 76850400156

Therefore, the lowest common multiple of 393,622,823,764 is 76850400156.

LCM Formula to Find Lowest Common Multiple of 393,622,823,764

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.

393 x 622 x 823 x 764 = 153700800312

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.

393 : 1, 3, 131, 393

622 : 1, 2, 311, 622

823 : 1, 823

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,622,823,764, is 1.

Now, the common factors can be found like this.

393:3x 131

622:2x 311

823:823

764:2x 2x 191

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 = 153700800312/(1x2)

LCM = 153700800312/2

LCM = 76850400156

Thus, we can understand that the LCM of 393,622,823,764 is 76850400156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 393, 622, 823, 764

1. What is the LCM of 393, 622, 823, 764?

Answer: LCM of 393, 622, 823, 764 is 76850400156.

2. How to calculate the LCM of 393, 622, 823, 764?

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 393, 622, 823, 764.

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}.