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LCM of 629, 835, 420, 313

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


Find the LCM of 629, 835, 420, 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, 835, 420, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,835,420,313

Given numbers are 629,835,420,313

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

The LCM of 629,835,420,313 is 13808952780.

Find LCM of 629,835,420,313 with Prime Factorization


5 629, 835, 420, 313
629, 167, 84, 313

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

5 x 629 x 167 x 84 x 313 = 13808952780

Therefore, the lowest common multiple of 629,835,420,313 is 13808952780.

LCM Formula to Find Lowest Common Multiple of 629,835,420,313

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 835 x 420 x 313 = 69044763900

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

835 : 1, 5, 167, 835

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,835,420,313, is 1.

Now, the common factors can be found like this.

629:17x 37

835:5x 167

420:2x 2x 3x 5x 7

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.

5 = 5

Therefore, the value for common factors is 5.

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 = 69044763900/(1x5)

LCM = 69044763900/5

LCM = 13808952780

Thus, we can understand that the LCM of 629,835,420,313 is 13808952780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 835, 420, 313

1. What is the LCM of 629, 835, 420, 313?

Answer: LCM of 629, 835, 420, 313 is 13808952780.

2. How to calculate the LCM of 629, 835, 420, 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, 835, 420, 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}.