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LCM of 7718, 7004

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


Find the LCM of 7718, 7004 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 7718, 7004. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7718,7004

Given numbers are 7718,7004

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

The LCM of 7718,7004 is 1589908.

Find LCM of 7718,7004 with Prime Factorization


2 7718, 7004
17 3859, 3502
227, 206

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

2 x 17 x 227 x 206 = 1589908

Therefore, the lowest common multiple of 7718,7004 is 1589908.

LCM Formula to Find Lowest Common Multiple of 7718,7004

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.

7718 x 7004 = 54056872

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.

7718 : 1, 2, 17, 34, 227, 454, 3859, 7718

7004 : 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004

34 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7718,7004, is 34.

Now, the common factors can be found like this.

7718:2x 17x 227

7004:2x 2x 17x 103

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

= 1

Therefore, the value for common factors is 1.

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 = 54056872/(34x1)

LCM = 54056872/34

LCM = 1589908

Thus, we can understand that the LCM of 7718,7004 is 1589908.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7718, 7004

1. What is the LCM of 7718, 7004?

Answer: LCM of 7718, 7004 is 1589908.

2. How to calculate the LCM of 7718, 7004?

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 7718, 7004.

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}.