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LCM of 618, 249, 715, 412, 642

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


Find the LCM of 618, 249, 715, 412, 642 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 618, 249, 715, 412, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 618,249,715,412,642

Given numbers are 618,249,715,412,642

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

The LCM of 618,249,715,412,642 is 7848494940.

Find LCM of 618,249,715,412,642 with Prime Factorization


2 618, 249, 715, 412, 642
3 309, 249, 715, 206, 321
103 103, 83, 715, 206, 107
1, 83, 715, 2, 107

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

2 x 3 x 103 x 1 x 83 x 715 x 2 x 107 = 7848494940

Therefore, the lowest common multiple of 618,249,715,412,642 is 7848494940.

LCM Formula to Find Lowest Common Multiple of 618,249,715,412,642

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.

618 x 249 x 715 x 412 x 642 = 29102219237520

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.

618 : 1, 2, 3, 6, 103, 206, 309, 618

249 : 1, 3, 83, 249

715 : 1, 5, 11, 13, 55, 65, 143, 715

412 : 1, 2, 4, 103, 206, 412

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,249,715,412,642, is 1.

Now, the common factors can be found like this.

618:2x 3x 103

249:3x 83

715:5x 11x 13

412:2x 2x 103

642:2x 3x 107

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 3x 3x 103 = 3708

Therefore, the value for common factors is 3708.

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 = 29102219237520/(1x3708)

LCM = 29102219237520/3708

LCM = 7848494940

Thus, we can understand that the LCM of 618,249,715,412,642 is 7848494940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 618, 249, 715, 412, 642

1. What is the LCM of 618, 249, 715, 412, 642?

Answer: LCM of 618, 249, 715, 412, 642 is 7848494940.

2. How to calculate the LCM of 618, 249, 715, 412, 642?

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 618, 249, 715, 412, 642.

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}.