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LCM of 9238, 4718

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


Find the LCM of 9238, 4718 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 9238, 4718. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9238,4718

Given numbers are 9238,4718

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

The LCM of 9238,4718 is 21792442.

Find LCM of 9238,4718 with Prime Factorization


2 9238, 4718
4619, 2359

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

2 x 4619 x 2359 = 21792442

Therefore, the lowest common multiple of 9238,4718 is 21792442.

LCM Formula to Find Lowest Common Multiple of 9238,4718

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.

9238 x 4718 = 43584884

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.

9238 : 1, 2, 31, 62, 149, 298, 4619, 9238

4718 : 1, 2, 7, 14, 337, 674, 2359, 4718

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9238,4718, is 2.

Now, the common factors can be found like this.

9238:2x 31x 149

4718:2x 7x 337

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 = 43584884/(2x1)

LCM = 43584884/2

LCM = 21792442

Thus, we can understand that the LCM of 9238,4718 is 21792442.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9238, 4718

1. What is the LCM of 9238, 4718?

Answer: LCM of 9238, 4718 is 21792442.

2. How to calculate the LCM of 9238, 4718?

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 9238, 4718.

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}.