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LCM of 618, 611, 363, 779, 949

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


Find the LCM of 618, 611, 363, 779, 949 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, 611, 363, 779, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 618,611,363,779,949

Given numbers are 618,611,363,779,949

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

The LCM of 618,611,363,779,949 is 2598216721386.

Find LCM of 618,611,363,779,949 with Prime Factorization


3 618, 611, 363, 779, 949
13 206, 611, 121, 779, 949
206, 47, 121, 779, 73

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

3 x 13 x 206 x 47 x 121 x 779 x 73 = 2598216721386

Therefore, the lowest common multiple of 618,611,363,779,949 is 2598216721386.

LCM Formula to Find Lowest Common Multiple of 618,611,363,779,949

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 611 x 363 x 779 x 949 = 101330452134054

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

611 : 1, 13, 47, 611

363 : 1, 3, 11, 33, 121, 363

779 : 1, 19, 41, 779

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,611,363,779,949, is 1.

Now, the common factors can be found like this.

618:2x 3x 103

611:13x 47

363:3x 11x 11

779:19x 41

949:13x 73

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 101330452134054/(1x39)

LCM = 101330452134054/39

LCM = 2598216721386

Thus, we can understand that the LCM of 618,611,363,779,949 is 2598216721386.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 618, 611, 363, 779, 949

1. What is the LCM of 618, 611, 363, 779, 949?

Answer: LCM of 618, 611, 363, 779, 949 is 2598216721386.

2. How to calculate the LCM of 618, 611, 363, 779, 949?

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, 611, 363, 779, 949.

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}.