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LCM of 983, 408, 413, 459

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


Find the LCM of 983, 408, 413, 459 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 983, 408, 413, 459. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 983,408,413,459

Given numbers are 983,408,413,459

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

The LCM of 983,408,413,459 is 1490754888.

Find LCM of 983,408,413,459 with Prime Factorization


3 983, 408, 413, 459
17 983, 136, 413, 153
983, 8, 413, 9

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

3 x 17 x 983 x 8 x 413 x 9 = 1490754888

Therefore, the lowest common multiple of 983,408,413,459 is 1490754888.

LCM Formula to Find Lowest Common Multiple of 983,408,413,459

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.

983 x 408 x 413 x 459 = 76028499288

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.

983 : 1, 983

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

413 : 1, 7, 59, 413

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,408,413,459, is 1.

Now, the common factors can be found like this.

983:983

408:2x 2x 2x 3x 17

413:7x 59

459:3x 3x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 76028499288/(1x51)

LCM = 76028499288/51

LCM = 1490754888

Thus, we can understand that the LCM of 983,408,413,459 is 1490754888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 983, 408, 413, 459

1. What is the LCM of 983, 408, 413, 459?

Answer: LCM of 983, 408, 413, 459 is 1490754888.

2. How to calculate the LCM of 983, 408, 413, 459?

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 983, 408, 413, 459.

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}.