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LCM of 916, 857, 435, 750, 288

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


Find the LCM of 916, 857, 435, 750, 288 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 916, 857, 435, 750, 288. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 916,857,435,750,288

Given numbers are 916,857,435,750,288

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

The LCM of 916,857,435,750,288 is 204888132000.

Find LCM of 916,857,435,750,288 with Prime Factorization


2 916, 857, 435, 750, 288
2 458, 857, 435, 375, 144
3 229, 857, 435, 375, 72
5 229, 857, 145, 125, 24
229, 857, 29, 25, 24

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

2 x 2 x 3 x 5 x 229 x 857 x 29 x 25 x 24 = 204888132000

Therefore, the lowest common multiple of 916,857,435,750,288 is 204888132000.

LCM Formula to Find Lowest Common Multiple of 916,857,435,750,288

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.

916 x 857 x 435 x 750 x 288 = 73759727520000

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.

916 : 1, 2, 4, 229, 458, 916

857 : 1, 857

435 : 1, 3, 5, 15, 29, 87, 145, 435

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,857,435,750,288, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

857:857

435:3x 5x 29

750:2x 3x 5x 5x 5

288:2x 2x 2x 2x 2x 3x 3

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

2x 2x 2x 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 73759727520000/(1x360)

LCM = 73759727520000/360

LCM = 204888132000

Thus, we can understand that the LCM of 916,857,435,750,288 is 204888132000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 916, 857, 435, 750, 288

1. What is the LCM of 916, 857, 435, 750, 288?

Answer: LCM of 916, 857, 435, 750, 288 is 204888132000.

2. How to calculate the LCM of 916, 857, 435, 750, 288?

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 916, 857, 435, 750, 288.

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}.