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LCM of 307, 527, 494, 627

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


Find the LCM of 307, 527, 494, 627 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 307, 527, 494, 627. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 307,527,494,627

Given numbers are 307,527,494,627

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

The LCM of 307,527,494,627 is 2637484278.

Find LCM of 307,527,494,627 with Prime Factorization


19 307, 527, 494, 627
307, 527, 26, 33

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

19 x 307 x 527 x 26 x 33 = 2637484278

Therefore, the lowest common multiple of 307,527,494,627 is 2637484278.

LCM Formula to Find Lowest Common Multiple of 307,527,494,627

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.

307 x 527 x 494 x 627 = 50112201282

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.

307 : 1, 307

527 : 1, 17, 31, 527

494 : 1, 2, 13, 19, 26, 38, 247, 494

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,527,494,627, is 1.

Now, the common factors can be found like this.

307:307

527:17x 31

494:2x 13x 19

627:3x 11x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 50112201282/(1x19)

LCM = 50112201282/19

LCM = 2637484278

Thus, we can understand that the LCM of 307,527,494,627 is 2637484278.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 307, 527, 494, 627

1. What is the LCM of 307, 527, 494, 627?

Answer: LCM of 307, 527, 494, 627 is 2637484278.

2. How to calculate the LCM of 307, 527, 494, 627?

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 307, 527, 494, 627.

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}.