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LCM of 4974, 9626

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


Find the LCM of 4974, 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 4974, 9626. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4974,9626

Given numbers are 4974,9626

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

The LCM of 4974,9626 is 23939862.

Find LCM of 4974,9626 with Prime Factorization


2 4974, 9626
2487, 4813

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

2 x 2487 x 4813 = 23939862

Therefore, the lowest common multiple of 4974,9626 is 23939862.

LCM Formula to Find Lowest Common Multiple of 4974,9626

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.

4974 x 9626 = 47879724

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.

4974 : 1, 2, 3, 6, 829, 1658, 2487, 4974

9626 : 1, 2, 4813, 9626

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4974,9626, is 2.

Now, the common factors can be found like this.

4974:2x 3x 829

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 = 47879724/(2x1)

LCM = 47879724/2

LCM = 23939862

Thus, we can understand that the LCM of 4974,9626 is 23939862.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4974, 9626

1. What is the LCM of 4974, 9626?

Answer: LCM of 4974, 9626 is 23939862.

2. How to calculate the LCM of 4974, 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 4974, 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}.