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LCM of 287, 285, 312, 585

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


Find the LCM of 287, 285, 312, 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 287, 285, 312, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 287,285,312,585

Given numbers are 287,285,312,585

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

The LCM of 287,285,312,585 is 25520040.

Find LCM of 287,285,312,585 with Prime Factorization


3 287, 285, 312, 585
5 287, 95, 104, 195
13 287, 19, 104, 39
287, 19, 8, 3

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

3 x 5 x 13 x 287 x 19 x 8 x 3 = 25520040

Therefore, the lowest common multiple of 287,285,312,585 is 25520040.

LCM Formula to Find Lowest Common Multiple of 287,285,312,585

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.

287 x 285 x 312 x 585 = 14929223400

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.

287 : 1, 7, 41, 287

285 : 1, 3, 5, 15, 19, 57, 95, 285

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 287,285,312,585, is 1.

Now, the common factors can be found like this.

287:7x 41

285:3x 5x 19

312:2x 2x 2x 3x 13

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.

3x 3x 5x 13 = 585

Therefore, the value for common factors is 585.

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 = 14929223400/(1x585)

LCM = 14929223400/585

LCM = 25520040

Thus, we can understand that the LCM of 287,285,312,585 is 25520040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 287, 285, 312, 585

1. What is the LCM of 287, 285, 312, 585?

Answer: LCM of 287, 285, 312, 585 is 25520040.

2. How to calculate the LCM of 287, 285, 312, 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 287, 285, 312, 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}.