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LCM of 7844, 7690

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


Find the LCM of 7844, 7690 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 7844, 7690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7844,7690

Given numbers are 7844,7690

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

The LCM of 7844,7690 is 30160180.

Find LCM of 7844,7690 with Prime Factorization


2 7844, 7690
3922, 3845

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

2 x 3922 x 3845 = 30160180

Therefore, the lowest common multiple of 7844,7690 is 30160180.

LCM Formula to Find Lowest Common Multiple of 7844,7690

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.

7844 x 7690 = 60320360

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.

7844 : 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844

7690 : 1, 2, 5, 10, 769, 1538, 3845, 7690

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7844,7690, is 2.

Now, the common factors can be found like this.

7844:2x 2x 37x 53

7690:2x 5x 769

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 = 60320360/(2x1)

LCM = 60320360/2

LCM = 30160180

Thus, we can understand that the LCM of 7844,7690 is 30160180.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7844, 7690

1. What is the LCM of 7844, 7690?

Answer: LCM of 7844, 7690 is 30160180.

2. How to calculate the LCM of 7844, 7690?

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 7844, 7690.

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}.