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LCM of 3038, 9626

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


Find the LCM of 3038, 9626 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 3038, 9626. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3038,9626

Given numbers are 3038,9626

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

The LCM of 3038,9626 is 14621894.

Find LCM of 3038,9626 with Prime Factorization


2 3038, 9626
1519, 4813

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

2 x 1519 x 4813 = 14621894

Therefore, the lowest common multiple of 3038,9626 is 14621894.

LCM Formula to Find Lowest Common Multiple of 3038,9626

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.

3038 x 9626 = 29243788

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.

3038 : 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519, 3038

9626 : 1, 2, 4813, 9626

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3038,9626, is 2.

Now, the common factors can be found like this.

3038:2x 7x 7x 31

9626:2x 4813

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 = 29243788/(2x1)

LCM = 29243788/2

LCM = 14621894

Thus, we can understand that the LCM of 3038,9626 is 14621894.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3038, 9626

1. What is the LCM of 3038, 9626?

Answer: LCM of 3038, 9626 is 14621894.

2. How to calculate the LCM of 3038, 9626?

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 3038, 9626.

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}.