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LCM of 319, 767, 619, 627

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


Find the LCM of 319, 767, 619, 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 319, 767, 619, 627. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,767,619,627

Given numbers are 319,767,619,627

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

The LCM of 319,767,619,627 is 8632797459.

Find LCM of 319,767,619,627 with Prime Factorization


11 319, 767, 619, 627
29, 767, 619, 57

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

11 x 29 x 767 x 619 x 57 = 8632797459

Therefore, the lowest common multiple of 319,767,619,627 is 8632797459.

LCM Formula to Find Lowest Common Multiple of 319,767,619,627

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.

319 x 767 x 619 x 627 = 94960772049

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.

319 : 1, 11, 29, 319

767 : 1, 13, 59, 767

619 : 1, 619

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 319,767,619,627, is 1.

Now, the common factors can be found like this.

319:11x 29

767:13x 59

619:619

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.

11 = 11

Therefore, the value for common factors is 11.

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 = 94960772049/(1x11)

LCM = 94960772049/11

LCM = 8632797459

Thus, we can understand that the LCM of 319,767,619,627 is 8632797459.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 767, 619, 627

1. What is the LCM of 319, 767, 619, 627?

Answer: LCM of 319, 767, 619, 627 is 8632797459.

2. How to calculate the LCM of 319, 767, 619, 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 319, 767, 619, 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}.