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LCM of 618, 582, 582, 715, 371

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


Find the LCM of 618, 582, 582, 715, 371 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, 582, 582, 715, 371. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 618,582,582,715,371

Given numbers are 618,582,582,715,371

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

The LCM of 618,582,582,715,371 is 15901575690.

Find LCM of 618,582,582,715,371 with Prime Factorization


2 618, 582, 582, 715, 371
3 309, 291, 291, 715, 371
97 103, 97, 97, 715, 371
103, 1, 1, 715, 371

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

2 x 3 x 97 x 103 x 1 x 1 x 715 x 371 = 15901575690

Therefore, the lowest common multiple of 618,582,582,715,371 is 15901575690.

LCM Formula to Find Lowest Common Multiple of 618,582,582,715,371

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 582 x 582 x 715 x 371 = 55528302309480

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

582 : 1, 2, 3, 6, 97, 194, 291, 582

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

371 : 1, 7, 53, 371

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,582,582,715,371, is 1.

Now, the common factors can be found like this.

618:2x 3x 103

582:2x 3x 97

582:2x 3x 97

715:5x 11x 13

371:7x 53

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 97 = 3492

Therefore, the value for common factors is 3492.

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 = 55528302309480/(1x3492)

LCM = 55528302309480/3492

LCM = 15901575690

Thus, we can understand that the LCM of 618,582,582,715,371 is 15901575690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 618, 582, 582, 715, 371

1. What is the LCM of 618, 582, 582, 715, 371?

Answer: LCM of 618, 582, 582, 715, 371 is 15901575690.

2. How to calculate the LCM of 618, 582, 582, 715, 371?

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, 582, 582, 715, 371.

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}.