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LCM of 994, 936, 956, 884

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


Find the LCM of 994, 936, 956, 884 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, 936, 956, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 994,936,956,884

Given numbers are 994,936,956,884

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

The LCM of 994,936,956,884 is 1890075096.

Find LCM of 994,936,956,884 with Prime Factorization


2 994, 936, 956, 884
2 497, 468, 478, 442
13 497, 234, 239, 221
497, 18, 239, 17

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

2 x 2 x 13 x 497 x 18 x 239 x 17 = 1890075096

Therefore, the lowest common multiple of 994,936,956,884 is 1890075096.

LCM Formula to Find Lowest Common Multiple of 994,936,956,884

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 936 x 956 x 884 = 786271239936

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

956 : 1, 2, 4, 239, 478, 956

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,936,956,884, is 2.

Now, the common factors can be found like this.

994:2x 7x 71

936:2x 2x 2x 3x 3x 13

956:2x 2x 239

884:2x 2x 13x 17

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 13 = 208

Therefore, the value for common factors is 208.

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 = 786271239936/(2x208)

LCM = 786271239936/416

LCM = 1890075096

Thus, we can understand that the LCM of 994,936,956,884 is 1890075096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 994, 936, 956, 884

1. What is the LCM of 994, 936, 956, 884?

Answer: LCM of 994, 936, 956, 884 is 1890075096.

2. How to calculate the LCM of 994, 936, 956, 884?

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, 936, 956, 884.

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}.