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LCM of 331, 418, 313, 347, 832

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


Find the LCM of 331, 418, 313, 347, 832 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 331, 418, 313, 347, 832. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,418,313,347,832

Given numbers are 331,418,313,347,832

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

The LCM of 331,418,313,347,832 is 6251315507008.

Find LCM of 331,418,313,347,832 with Prime Factorization


2 331, 418, 313, 347, 832
331, 209, 313, 347, 416

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

2 x 331 x 209 x 313 x 347 x 416 = 6251315507008

Therefore, the lowest common multiple of 331,418,313,347,832 is 6251315507008.

LCM Formula to Find Lowest Common Multiple of 331,418,313,347,832

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.

331 x 418 x 313 x 347 x 832 = 12502631014016

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.

331 : 1, 331

418 : 1, 2, 11, 19, 22, 38, 209, 418

313 : 1, 313

347 : 1, 347

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,418,313,347,832, is 1.

Now, the common factors can be found like this.

331:331

418:2x 11x 19

313:313

347:347

832:2x 2x 2x 2x 2x 2x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 12502631014016/(1x2)

LCM = 12502631014016/2

LCM = 6251315507008

Thus, we can understand that the LCM of 331,418,313,347,832 is 6251315507008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 418, 313, 347, 832

1. What is the LCM of 331, 418, 313, 347, 832?

Answer: LCM of 331, 418, 313, 347, 832 is 6251315507008.

2. How to calculate the LCM of 331, 418, 313, 347, 832?

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 331, 418, 313, 347, 832.

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}.