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LCM of 9814, 8834

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


Find the LCM of 9814, 8834 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 9814, 8834. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9814,8834

Given numbers are 9814,8834

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

The LCM of 9814,8834 is 6192634.

Find LCM of 9814,8834 with Prime Factorization


2 9814, 8834
7 4907, 4417
701, 631

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

2 x 7 x 701 x 631 = 6192634

Therefore, the lowest common multiple of 9814,8834 is 6192634.

LCM Formula to Find Lowest Common Multiple of 9814,8834

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.

9814 x 8834 = 86696876

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.

9814 : 1, 2, 7, 14, 701, 1402, 4907, 9814

8834 : 1, 2, 7, 14, 631, 1262, 4417, 8834

14 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9814,8834, is 14.

Now, the common factors can be found like this.

9814:2x 7x 701

8834:2x 7x 631

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 = 86696876/(14x1)

LCM = 86696876/14

LCM = 6192634

Thus, we can understand that the LCM of 9814,8834 is 6192634.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9814, 8834

1. What is the LCM of 9814, 8834?

Answer: LCM of 9814, 8834 is 6192634.

2. How to calculate the LCM of 9814, 8834?

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 9814, 8834.

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}.