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LCM of 629, 939, 313

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


Find the LCM of 629, 939, 313 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 629, 939, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,939,313

Given numbers are 629,939,313

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

The LCM of 629,939,313 is 590631.

Find LCM of 629,939,313 with Prime Factorization


313 629, 939, 313
629, 3, 1

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

313 x 629 x 3 x 1 = 590631

Therefore, the lowest common multiple of 629,939,313 is 590631.

LCM Formula to Find Lowest Common Multiple of 629,939,313

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.

629 x 939 x 313 = 184867503

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.

629 : 1, 17, 37, 629

939 : 1, 3, 313, 939

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,939,313, is 1.

Now, the common factors can be found like this.

629:17x 37

939:3x 313

313:313

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

313 = 313

Therefore, the value for common factors is 313.

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 = 184867503/(1x313)

LCM = 184867503/313

LCM = 590631

Thus, we can understand that the LCM of 629,939,313 is 590631.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 629, 939, 313

1. What is the LCM of 629, 939, 313?

Answer: LCM of 629, 939, 313 is 590631.

2. How to calculate the LCM of 629, 939, 313?

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 629, 939, 313.

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}.