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LCM of 9786, 3394

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


Find the LCM of 9786, 3394 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 9786, 3394. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9786,3394

Given numbers are 9786,3394

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

The LCM of 9786,3394 is 16606842.

Find LCM of 9786,3394 with Prime Factorization


2 9786, 3394
4893, 1697

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

2 x 4893 x 1697 = 16606842

Therefore, the lowest common multiple of 9786,3394 is 16606842.

LCM Formula to Find Lowest Common Multiple of 9786,3394

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.

9786 x 3394 = 33213684

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.

9786 : 1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786

3394 : 1, 2, 1697, 3394

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9786,3394, is 2.

Now, the common factors can be found like this.

9786:2x 3x 7x 233

3394:2x 1697

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 = 33213684/(2x1)

LCM = 33213684/2

LCM = 16606842

Thus, we can understand that the LCM of 9786,3394 is 16606842.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9786, 3394

1. What is the LCM of 9786, 3394?

Answer: LCM of 9786, 3394 is 16606842.

2. How to calculate the LCM of 9786, 3394?

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 9786, 3394.

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}.