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LCM of 8405, 9985

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


Find the LCM of 8405, 9985 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 8405, 9985. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8405,9985

Given numbers are 8405,9985

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

The LCM of 8405,9985 is 16784785.

Find LCM of 8405,9985 with Prime Factorization


5 8405, 9985
1681, 1997

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

5 x 1681 x 1997 = 16784785

Therefore, the lowest common multiple of 8405,9985 is 16784785.

LCM Formula to Find Lowest Common Multiple of 8405,9985

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.

8405 x 9985 = 83923925

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.

8405 : 1, 5, 41, 205, 1681, 8405

9985 : 1, 5, 1997, 9985

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8405,9985, is 5.

Now, the common factors can be found like this.

8405:5x 41x 41

9985:5x 1997

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 = 83923925/(5x1)

LCM = 83923925/5

LCM = 16784785

Thus, we can understand that the LCM of 8405,9985 is 16784785.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8405, 9985

1. What is the LCM of 8405, 9985?

Answer: LCM of 8405, 9985 is 16784785.

2. How to calculate the LCM of 8405, 9985?

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 8405, 9985.

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}.