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LCM of 997, 291, 519, 263

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


Find the LCM of 997, 291, 519, 263 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 997, 291, 519, 263. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 997,291,519,263

Given numbers are 997,291,519,263

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

The LCM of 997,291,519,263 is 13200488373.

Find LCM of 997,291,519,263 with Prime Factorization


3 997, 291, 519, 263
997, 97, 173, 263

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

3 x 997 x 97 x 173 x 263 = 13200488373

Therefore, the lowest common multiple of 997,291,519,263 is 13200488373.

LCM Formula to Find Lowest Common Multiple of 997,291,519,263

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.

997 x 291 x 519 x 263 = 39601465119

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.

997 : 1, 997

291 : 1, 3, 97, 291

519 : 1, 3, 173, 519

263 : 1, 263

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,291,519,263, is 1.

Now, the common factors can be found like this.

997:997

291:3x 97

519:3x 173

263:263

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 = 39601465119/(1x3)

LCM = 39601465119/3

LCM = 13200488373

Thus, we can understand that the LCM of 997,291,519,263 is 13200488373.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 997, 291, 519, 263

1. What is the LCM of 997, 291, 519, 263?

Answer: LCM of 997, 291, 519, 263 is 13200488373.

2. How to calculate the LCM of 997, 291, 519, 263?

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 997, 291, 519, 263.

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}.