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LCM of 4458, 2085

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


Find the LCM of 4458, 2085 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 4458, 2085. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4458,2085

Given numbers are 4458,2085

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

The LCM of 4458,2085 is 3098310.

Find LCM of 4458,2085 with Prime Factorization


3 4458, 2085
1486, 695

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

3 x 1486 x 695 = 3098310

Therefore, the lowest common multiple of 4458,2085 is 3098310.

LCM Formula to Find Lowest Common Multiple of 4458,2085

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.

4458 x 2085 = 9294930

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.

4458 : 1, 2, 3, 6, 743, 1486, 2229, 4458

2085 : 1, 3, 5, 15, 139, 417, 695, 2085

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4458,2085, is 3.

Now, the common factors can be found like this.

4458:2x 3x 743

2085:3x 5x 139

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 = 9294930/(3x1)

LCM = 9294930/3

LCM = 3098310

Thus, we can understand that the LCM of 4458,2085 is 3098310.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4458, 2085

1. What is the LCM of 4458, 2085?

Answer: LCM of 4458, 2085 is 3098310.

2. How to calculate the LCM of 4458, 2085?

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 4458, 2085.

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}.