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LCM of 374, 629, 646, 433

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


Find the LCM of 374, 629, 646, 433 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 374, 629, 646, 433. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,629,646,433

Given numbers are 374,629,646,433

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

The LCM of 374,629,646,433 is 113845226.

Find LCM of 374,629,646,433 with Prime Factorization


2 374, 629, 646, 433
17 187, 629, 323, 433
11, 37, 19, 433

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

2 x 17 x 11 x 37 x 19 x 433 = 113845226

Therefore, the lowest common multiple of 374,629,646,433 is 113845226.

LCM Formula to Find Lowest Common Multiple of 374,629,646,433

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.

374 x 629 x 646 x 433 = 65802540628

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

629 : 1, 17, 37, 629

646 : 1, 2, 17, 19, 34, 38, 323, 646

433 : 1, 433

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,629,646,433, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

629:17x 37

646:2x 17x 19

433:433

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

2x 17x 17 = 578

Therefore, the value for common factors is 578.

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 = 65802540628/(1x578)

LCM = 65802540628/578

LCM = 113845226

Thus, we can understand that the LCM of 374,629,646,433 is 113845226.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 629, 646, 433

1. What is the LCM of 374, 629, 646, 433?

Answer: LCM of 374, 629, 646, 433 is 113845226.

2. How to calculate the LCM of 374, 629, 646, 433?

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 374, 629, 646, 433.

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}.