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LCM of 9488, 7110

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


Find the LCM of 9488, 7110 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 9488, 7110. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9488,7110

Given numbers are 9488,7110

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

The LCM of 9488,7110 is 33729840.

Find LCM of 9488,7110 with Prime Factorization


2 9488, 7110
4744, 3555

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

2 x 4744 x 3555 = 33729840

Therefore, the lowest common multiple of 9488,7110 is 33729840.

LCM Formula to Find Lowest Common Multiple of 9488,7110

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.

9488 x 7110 = 67459680

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.

9488 : 1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488

7110 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9488,7110, is 2.

Now, the common factors can be found like this.

9488:2x 2x 2x 2x 593

7110:2x 3x 3x 5x 79

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 = 67459680/(2x1)

LCM = 67459680/2

LCM = 33729840

Thus, we can understand that the LCM of 9488,7110 is 33729840.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 9488, 7110

1. What is the LCM of 9488, 7110?

Answer: LCM of 9488, 7110 is 33729840.

2. How to calculate the LCM of 9488, 7110?

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 9488, 7110.

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}.