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LCM of 313, 333, 629, 561, 307

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


Find the LCM of 313, 333, 629, 561, 307 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 313, 333, 629, 561, 307. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 313,333,629,561,307

Given numbers are 313,333,629,561,307

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

The LCM of 313,333,629,561,307 is 5983682661.

Find LCM of 313,333,629,561,307 with Prime Factorization


3 313, 333, 629, 561, 307
17 313, 111, 629, 187, 307
37 313, 111, 37, 11, 307
313, 3, 1, 11, 307

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

3 x 17 x 37 x 313 x 3 x 1 x 11 x 307 = 5983682661

Therefore, the lowest common multiple of 313,333,629,561,307 is 5983682661.

LCM Formula to Find Lowest Common Multiple of 313,333,629,561,307

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.

313 x 333 x 629 x 561 x 307 = 11291209181307

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.

313 : 1, 313

333 : 1, 3, 9, 37, 111, 333

629 : 1, 17, 37, 629

561 : 1, 3, 11, 17, 33, 51, 187, 561

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,333,629,561,307, is 1.

Now, the common factors can be found like this.

313:313

333:3x 3x 37

629:17x 37

561:3x 11x 17

307:307

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

3x 17x 37 = 1887

Therefore, the value for common factors is 1887.

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 = 11291209181307/(1x1887)

LCM = 11291209181307/1887

LCM = 5983682661

Thus, we can understand that the LCM of 313,333,629,561,307 is 5983682661.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 313, 333, 629, 561, 307

1. What is the LCM of 313, 333, 629, 561, 307?

Answer: LCM of 313, 333, 629, 561, 307 is 5983682661.

2. How to calculate the LCM of 313, 333, 629, 561, 307?

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 313, 333, 629, 561, 307.

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}.