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LCM of 794, 368, 331, 956, 614

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


Find the LCM of 794, 368, 331, 956, 614 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 794, 368, 331, 956, 614. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,368,331,956,614

Given numbers are 794,368,331,956,614

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

The LCM of 794,368,331,956,614 is 3548155098448.

Find LCM of 794,368,331,956,614 with Prime Factorization


2 794, 368, 331, 956, 614
2 397, 184, 331, 478, 307
397, 92, 331, 239, 307

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

2 x 2 x 397 x 92 x 331 x 239 x 307 = 3548155098448

Therefore, the lowest common multiple of 794,368,331,956,614 is 3548155098448.

LCM Formula to Find Lowest Common Multiple of 794,368,331,956,614

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.

794 x 368 x 331 x 956 x 614 = 56770481575168

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.

794 : 1, 2, 397, 794

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

331 : 1, 331

956 : 1, 2, 4, 239, 478, 956

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,368,331,956,614, is 1.

Now, the common factors can be found like this.

794:2x 397

368:2x 2x 2x 2x 23

331:331

956:2x 2x 239

614:2x 307

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 56770481575168/(1x16)

LCM = 56770481575168/16

LCM = 3548155098448

Thus, we can understand that the LCM of 794,368,331,956,614 is 3548155098448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 368, 331, 956, 614

1. What is the LCM of 794, 368, 331, 956, 614?

Answer: LCM of 794, 368, 331, 956, 614 is 3548155098448.

2. How to calculate the LCM of 794, 368, 331, 956, 614?

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 794, 368, 331, 956, 614.

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}.