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LCM of 374, 303, 563, 873

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


Find the LCM of 374, 303, 563, 873 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, 303, 563, 873. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,303,563,873

Given numbers are 374,303,563,873

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

The LCM of 374,303,563,873 is 18565883226.

Find LCM of 374,303,563,873 with Prime Factorization


3 374, 303, 563, 873
374, 101, 563, 291

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

3 x 374 x 101 x 563 x 291 = 18565883226

Therefore, the lowest common multiple of 374,303,563,873 is 18565883226.

LCM Formula to Find Lowest Common Multiple of 374,303,563,873

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 303 x 563 x 873 = 55697649678

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

303 : 1, 3, 101, 303

563 : 1, 563

873 : 1, 3, 9, 97, 291, 873

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,303,563,873, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

303:3x 101

563:563

873:3x 3x 97

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

3 = 3

Therefore, the value for common factors is 3.

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 = 55697649678/(1x3)

LCM = 55697649678/3

LCM = 18565883226

Thus, we can understand that the LCM of 374,303,563,873 is 18565883226.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 303, 563, 873

1. What is the LCM of 374, 303, 563, 873?

Answer: LCM of 374, 303, 563, 873 is 18565883226.

2. How to calculate the LCM of 374, 303, 563, 873?

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, 303, 563, 873.

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}.