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LCM of 8642, 3944

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


Find the LCM of 8642, 3944 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 8642, 3944. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8642,3944

Given numbers are 8642,3944

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

The LCM of 8642,3944 is 587656.

Find LCM of 8642,3944 with Prime Factorization


2 8642, 3944
29 4321, 1972
149, 68

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

2 x 29 x 149 x 68 = 587656

Therefore, the lowest common multiple of 8642,3944 is 587656.

LCM Formula to Find Lowest Common Multiple of 8642,3944

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.

8642 x 3944 = 34084048

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.

8642 : 1, 2, 29, 58, 149, 298, 4321, 8642

3944 : 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972, 3944

58 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8642,3944, is 58.

Now, the common factors can be found like this.

8642:2x 29x 149

3944:2x 2x 2x 17x 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 = 34084048/(58x1)

LCM = 34084048/58

LCM = 587656

Thus, we can understand that the LCM of 8642,3944 is 587656.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8642, 3944

1. What is the LCM of 8642, 3944?

Answer: LCM of 8642, 3944 is 587656.

2. How to calculate the LCM of 8642, 3944?

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 8642, 3944.

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}.