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LCM of 6130, 9964

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


Find the LCM of 6130, 9964 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 6130, 9964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6130,9964

Given numbers are 6130,9964

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

The LCM of 6130,9964 is 30539660.

Find LCM of 6130,9964 with Prime Factorization


2 6130, 9964
3065, 4982

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

2 x 3065 x 4982 = 30539660

Therefore, the lowest common multiple of 6130,9964 is 30539660.

LCM Formula to Find Lowest Common Multiple of 6130,9964

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.

6130 x 9964 = 61079320

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.

6130 : 1, 2, 5, 10, 613, 1226, 3065, 6130

9964 : 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6130,9964, is 2.

Now, the common factors can be found like this.

6130:2x 5x 613

9964:2x 2x 47x 53

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 = 61079320/(2x1)

LCM = 61079320/2

LCM = 30539660

Thus, we can understand that the LCM of 6130,9964 is 30539660.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6130, 9964

1. What is the LCM of 6130, 9964?

Answer: LCM of 6130, 9964 is 30539660.

2. How to calculate the LCM of 6130, 9964?

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 6130, 9964.

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}.