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LCM of 994, 896, 896, 183

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


Find the LCM of 994, 896, 896, 183 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 994, 896, 896, 183. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 994,896,896,183

Given numbers are 994,896,896,183

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

The LCM of 994,896,896,183 is 11641728.

Find LCM of 994,896,896,183 with Prime Factorization


2 994, 896, 896, 183
2 497, 448, 448, 183
2 497, 224, 224, 183
2 497, 112, 112, 183
2 497, 56, 56, 183
2 497, 28, 28, 183
2 497, 14, 14, 183
7 497, 7, 7, 183
71, 1, 1, 183

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 71 x 1 x 1 x 183 = 11641728

Therefore, the lowest common multiple of 994,896,896,183 is 11641728.

LCM Formula to Find Lowest Common Multiple of 994,896,896,183

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.

994 x 896 x 896 x 183 = 146033836032

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.

994 : 1, 2, 7, 14, 71, 142, 497, 994

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,896,896,183, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

896:2x 2x 2x 2x 2x 2x 2x 7

896:2x 2x 2x 2x 2x 2x 2x 7

183:3x 61

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 2x 2x 2x 2x 2x 7x 7 = 12544

Therefore, the value for common factors is 12544.

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 = 146033836032/(1x12544)

LCM = 146033836032/12544

LCM = 11641728

Thus, we can understand that the LCM of 994,896,896,183 is 11641728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 994, 896, 896, 183

1. What is the LCM of 994, 896, 896, 183?

Answer: LCM of 994, 896, 896, 183 is 11641728.

2. How to calculate the LCM of 994, 896, 896, 183?

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 994, 896, 896, 183.

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}.