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LCM of 555, 851, 629, 313

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


Find the LCM of 555, 851, 629, 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 555, 851, 629, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 555,851,629,313

Given numbers are 555,851,629,313

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

The LCM of 555,851,629,313 is 67922565.

Find LCM of 555,851,629,313 with Prime Factorization


37 555, 851, 629, 313
15, 23, 17, 313

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

37 x 15 x 23 x 17 x 313 = 67922565

Therefore, the lowest common multiple of 555,851,629,313 is 67922565.

LCM Formula to Find Lowest Common Multiple of 555,851,629,313

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.

555 x 851 x 629 x 313 = 92985991485

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.

555 : 1, 3, 5, 15, 37, 111, 185, 555

851 : 1, 23, 37, 851

629 : 1, 17, 37, 629

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,851,629,313, is 1.

Now, the common factors can be found like this.

555:3x 5x 37

851:23x 37

629:17x 37

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.

37x 37 = 1369

Therefore, the value for common factors is 1369.

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 = 92985991485/(1x1369)

LCM = 92985991485/1369

LCM = 67922565

Thus, we can understand that the LCM of 555,851,629,313 is 67922565.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 555, 851, 629, 313

1. What is the LCM of 555, 851, 629, 313?

Answer: LCM of 555, 851, 629, 313 is 67922565.

2. How to calculate the LCM of 555, 851, 629, 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 555, 851, 629, 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}.