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LCM of 984, 431, 246, 836

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


Find the LCM of 984, 431, 246, 836 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 984, 431, 246, 836. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 984,431,246,836

Given numbers are 984,431,246,836

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

The LCM of 984,431,246,836 is 88637736.

Find LCM of 984,431,246,836 with Prime Factorization


2 984, 431, 246, 836
2 492, 431, 123, 418
3 246, 431, 123, 209
41 82, 431, 41, 209
2, 431, 1, 209

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

2 x 2 x 3 x 41 x 2 x 431 x 1 x 209 = 88637736

Therefore, the lowest common multiple of 984,431,246,836 is 88637736.

LCM Formula to Find Lowest Common Multiple of 984,431,246,836

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.

984 x 431 x 246 x 836 = 87219532224

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

431 : 1, 431

246 : 1, 2, 3, 6, 41, 82, 123, 246

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,431,246,836, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

431:431

246:2x 3x 41

836:2x 2x 11x 19

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 41 = 984

Therefore, the value for common factors is 984.

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 = 87219532224/(1x984)

LCM = 87219532224/984

LCM = 88637736

Thus, we can understand that the LCM of 984,431,246,836 is 88637736.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 984, 431, 246, 836

1. What is the LCM of 984, 431, 246, 836?

Answer: LCM of 984, 431, 246, 836 is 88637736.

2. How to calculate the LCM of 984, 431, 246, 836?

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 984, 431, 246, 836.

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}.