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LCM of 5799, 3678

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


Find the LCM of 5799, 3678 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 5799, 3678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5799,3678

Given numbers are 5799,3678

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

The LCM of 5799,3678 is 7109574.

Find LCM of 5799,3678 with Prime Factorization


3 5799, 3678
1933, 1226

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

3 x 1933 x 1226 = 7109574

Therefore, the lowest common multiple of 5799,3678 is 7109574.

LCM Formula to Find Lowest Common Multiple of 5799,3678

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.

5799 x 3678 = 21328722

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.

5799 : 1, 3, 1933, 5799

3678 : 1, 2, 3, 6, 613, 1226, 1839, 3678

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5799,3678, is 3.

Now, the common factors can be found like this.

5799:3x 1933

3678:2x 3x 613

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 = 21328722/(3x1)

LCM = 21328722/3

LCM = 7109574

Thus, we can understand that the LCM of 5799,3678 is 7109574.

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FAQs on LCM of 5799, 3678

1. What is the LCM of 5799, 3678?

Answer: LCM of 5799, 3678 is 7109574.

2. How to calculate the LCM of 5799, 3678?

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 5799, 3678.

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}.