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LCM of 3399, 4587

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


Find the LCM of 3399, 4587 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 3399, 4587. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3399,4587

Given numbers are 3399,4587

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

The LCM of 3399,4587 is 472461.

Find LCM of 3399,4587 with Prime Factorization


3 3399, 4587
11 1133, 1529
103, 139

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

3 x 11 x 103 x 139 = 472461

Therefore, the lowest common multiple of 3399,4587 is 472461.

LCM Formula to Find Lowest Common Multiple of 3399,4587

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.

3399 x 4587 = 15591213

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.

3399 : 1, 3, 11, 33, 103, 309, 1133, 3399

4587 : 1, 3, 11, 33, 139, 417, 1529, 4587

33 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3399,4587, is 33.

Now, the common factors can be found like this.

3399:3x 11x 103

4587:3x 11x 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 = 15591213/(33x1)

LCM = 15591213/33

LCM = 472461

Thus, we can understand that the LCM of 3399,4587 is 472461.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3399, 4587

1. What is the LCM of 3399, 4587?

Answer: LCM of 3399, 4587 is 472461.

2. How to calculate the LCM of 3399, 4587?

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 3399, 4587.

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}.