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LCM of 6391, 4466

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


Find the LCM of 6391, 4466 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 6391, 4466. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6391,4466

Given numbers are 6391,4466

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

The LCM of 6391,4466 is 370678.

Find LCM of 6391,4466 with Prime Factorization


7 6391, 4466
11 913, 638
83, 58

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

7 x 11 x 83 x 58 = 370678

Therefore, the lowest common multiple of 6391,4466 is 370678.

LCM Formula to Find Lowest Common Multiple of 6391,4466

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.

6391 x 4466 = 28542206

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.

6391 : 1, 7, 11, 77, 83, 581, 913, 6391

4466 : 1, 2, 7, 11, 14, 22, 29, 58, 77, 154, 203, 319, 406, 638, 2233, 4466

77 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6391,4466, is 77.

Now, the common factors can be found like this.

6391:7x 11x 83

4466:2x 7x 11x 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 = 28542206/(77x1)

LCM = 28542206/77

LCM = 370678

Thus, we can understand that the LCM of 6391,4466 is 370678.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6391, 4466

1. What is the LCM of 6391, 4466?

Answer: LCM of 6391, 4466 is 370678.

2. How to calculate the LCM of 6391, 4466?

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 6391, 4466.

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}.