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LCM of 5047, 9682

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


Find the LCM of 5047, 9682 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 5047, 9682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5047,9682

Given numbers are 5047,9682

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

The LCM of 5047,9682 is 474418.

Find LCM of 5047,9682 with Prime Factorization


103 5047, 9682
49, 94

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

103 x 49 x 94 = 474418

Therefore, the lowest common multiple of 5047,9682 is 474418.

LCM Formula to Find Lowest Common Multiple of 5047,9682

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.

5047 x 9682 = 48865054

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.

5047 : 1, 7, 49, 103, 721, 5047

9682 : 1, 2, 47, 94, 103, 206, 4841, 9682

103 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5047,9682, is 103.

Now, the common factors can be found like this.

5047:7x 7x 103

9682:2x 47x 103

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 = 48865054/(103x1)

LCM = 48865054/103

LCM = 474418

Thus, we can understand that the LCM of 5047,9682 is 474418.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5047, 9682

1. What is the LCM of 5047, 9682?

Answer: LCM of 5047, 9682 is 474418.

2. How to calculate the LCM of 5047, 9682?

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 5047, 9682.

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}.