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LCM of 363, 960, 170, 585

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


Find the LCM of 363, 960, 170, 585 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 363, 960, 170, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,960,170,585

Given numbers are 363,960,170,585

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

The LCM of 363,960,170,585 is 77014080.

Find LCM of 363,960,170,585 with Prime Factorization


2 363, 960, 170, 585
3 363, 480, 85, 585
5 121, 160, 85, 195
121, 32, 17, 39

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

2 x 3 x 5 x 121 x 32 x 17 x 39 = 77014080

Therefore, the lowest common multiple of 363,960,170,585 is 77014080.

LCM Formula to Find Lowest Common Multiple of 363,960,170,585

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.

363 x 960 x 170 x 585 = 34656336000

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.

363 : 1, 3, 11, 33, 121, 363

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

170 : 1, 2, 5, 10, 17, 34, 85, 170

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,960,170,585, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

960:2x 2x 2x 2x 2x 2x 3x 5

170:2x 5x 17

585:3x 3x 5x 13

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

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 34656336000/(1x450)

LCM = 34656336000/450

LCM = 77014080

Thus, we can understand that the LCM of 363,960,170,585 is 77014080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 960, 170, 585

1. What is the LCM of 363, 960, 170, 585?

Answer: LCM of 363, 960, 170, 585 is 77014080.

2. How to calculate the LCM of 363, 960, 170, 585?

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 363, 960, 170, 585.

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}.