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LCM of 9747, 6061

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


Find the LCM of 9747, 6061 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 9747, 6061. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9747,6061

Given numbers are 9747,6061

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

The LCM of 9747,6061 is 3109293.

Find LCM of 9747,6061 with Prime Factorization


19 9747, 6061
513, 319

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

19 x 513 x 319 = 3109293

Therefore, the lowest common multiple of 9747,6061 is 3109293.

LCM Formula to Find Lowest Common Multiple of 9747,6061

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.

9747 x 6061 = 59076567

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.

9747 : 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747

6061 : 1, 11, 19, 29, 209, 319, 551, 6061

19 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9747,6061, is 19.

Now, the common factors can be found like this.

9747:3x 3x 3x 19x 19

6061:11x 19x 29

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 = 59076567/(19x1)

LCM = 59076567/19

LCM = 3109293

Thus, we can understand that the LCM of 9747,6061 is 3109293.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9747, 6061

1. What is the LCM of 9747, 6061?

Answer: LCM of 9747, 6061 is 3109293.

2. How to calculate the LCM of 9747, 6061?

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 9747, 6061.

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}.