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LCM of 313, 986, 184, 817, 249

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


Find the LCM of 313, 986, 184, 817, 249 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, 986, 184, 817, 249. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 313,986,184,817,249

Given numbers are 313,986,184,817,249

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

The LCM of 313,986,184,817,249 is 5776043874648.

Find LCM of 313,986,184,817,249 with Prime Factorization


2 313, 986, 184, 817, 249
313, 493, 92, 817, 249

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

2 x 313 x 493 x 92 x 817 x 249 = 5776043874648

Therefore, the lowest common multiple of 313,986,184,817,249 is 5776043874648.

LCM Formula to Find Lowest Common Multiple of 313,986,184,817,249

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 986 x 184 x 817 x 249 = 11552087749296

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

817 : 1, 19, 43, 817

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,986,184,817,249, is 1.

Now, the common factors can be found like this.

313:313

986:2x 17x 29

184:2x 2x 2x 23

817:19x 43

249:3x 83

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 = 11552087749296/(1x2)

LCM = 11552087749296/2

LCM = 5776043874648

Thus, we can understand that the LCM of 313,986,184,817,249 is 5776043874648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 313, 986, 184, 817, 249

1. What is the LCM of 313, 986, 184, 817, 249?

Answer: LCM of 313, 986, 184, 817, 249 is 5776043874648.

2. How to calculate the LCM of 313, 986, 184, 817, 249?

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, 986, 184, 817, 249.

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}.