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LCM of 9734, 6078

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


Find the LCM of 9734, 6078 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 9734, 6078. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9734,6078

Given numbers are 9734,6078

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

The LCM of 9734,6078 is 29581626.

Find LCM of 9734,6078 with Prime Factorization


2 9734, 6078
4867, 3039

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

2 x 4867 x 3039 = 29581626

Therefore, the lowest common multiple of 9734,6078 is 29581626.

LCM Formula to Find Lowest Common Multiple of 9734,6078

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.

9734 x 6078 = 59163252

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.

9734 : 1, 2, 31, 62, 157, 314, 4867, 9734

6078 : 1, 2, 3, 6, 1013, 2026, 3039, 6078

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9734,6078, is 2.

Now, the common factors can be found like this.

9734:2x 31x 157

6078:2x 3x 1013

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 = 59163252/(2x1)

LCM = 59163252/2

LCM = 29581626

Thus, we can understand that the LCM of 9734,6078 is 29581626.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9734, 6078

1. What is the LCM of 9734, 6078?

Answer: LCM of 9734, 6078 is 29581626.

2. How to calculate the LCM of 9734, 6078?

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 9734, 6078.

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}.