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LCM of 288, 836, 439, 460

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


Find the LCM of 288, 836, 439, 460 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 288, 836, 439, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 288,836,439,460

Given numbers are 288,836,439,460

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

The LCM of 288,836,439,460 is 3038793120.

Find LCM of 288,836,439,460 with Prime Factorization


2 288, 836, 439, 460
2 144, 418, 439, 230
72, 209, 439, 115

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

2 x 2 x 72 x 209 x 439 x 115 = 3038793120

Therefore, the lowest common multiple of 288,836,439,460 is 3038793120.

LCM Formula to Find Lowest Common Multiple of 288,836,439,460

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.

288 x 836 x 439 x 460 = 48620689920

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.

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

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

439 : 1, 439

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,836,439,460, is 1.

Now, the common factors can be found like this.

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

836:2x 2x 11x 19

439:439

460:2x 2x 5x 23

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 2 = 16

Therefore, the value for common factors is 16.

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 = 48620689920/(1x16)

LCM = 48620689920/16

LCM = 3038793120

Thus, we can understand that the LCM of 288,836,439,460 is 3038793120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 288, 836, 439, 460

1. What is the LCM of 288, 836, 439, 460?

Answer: LCM of 288, 836, 439, 460 is 3038793120.

2. How to calculate the LCM of 288, 836, 439, 460?

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 288, 836, 439, 460.

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}.