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LCM of 627, 114, 313, 703, 277

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


Find the LCM of 627, 114, 313, 703, 277 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 627, 114, 313, 703, 277. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,114,313,703,277

Given numbers are 627,114,313,703,277

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

The LCM of 627,114,313,703,277 is 4022752998.

Find LCM of 627,114,313,703,277 with Prime Factorization


3 627, 114, 313, 703, 277
19 209, 38, 313, 703, 277
11, 2, 313, 37, 277

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

3 x 19 x 11 x 2 x 313 x 37 x 277 = 4022752998

Therefore, the lowest common multiple of 627,114,313,703,277 is 4022752998.

LCM Formula to Find Lowest Common Multiple of 627,114,313,703,277

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.

627 x 114 x 313 x 703 x 277 = 4356641496834

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.

627 : 1, 3, 11, 19, 33, 57, 209, 627

114 : 1, 2, 3, 6, 19, 38, 57, 114

313 : 1, 313

703 : 1, 19, 37, 703

277 : 1, 277

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,114,313,703,277, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

114:2x 3x 19

313:313

703:19x 37

277:277

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

3x 19x 19 = 1083

Therefore, the value for common factors is 1083.

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 = 4356641496834/(1x1083)

LCM = 4356641496834/1083

LCM = 4022752998

Thus, we can understand that the LCM of 627,114,313,703,277 is 4022752998.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 114, 313, 703, 277

1. What is the LCM of 627, 114, 313, 703, 277?

Answer: LCM of 627, 114, 313, 703, 277 is 4022752998.

2. How to calculate the LCM of 627, 114, 313, 703, 277?

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 627, 114, 313, 703, 277.

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}.