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LCM of 938, 916, 883, 894, 883

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


Find the LCM of 938, 916, 883, 894, 883 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 938, 916, 883, 894, 883. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 938,916,883,894,883

Given numbers are 938,916,883,894,883

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

The LCM of 938,916,883,894,883 is 169565128404.

Find LCM of 938,916,883,894,883 with Prime Factorization


2 938, 916, 883, 894, 883
883 469, 458, 883, 447, 883
469, 458, 1, 447, 1

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

2 x 883 x 469 x 458 x 1 x 447 x 1 = 169565128404

Therefore, the lowest common multiple of 938,916,883,894,883 is 169565128404.

LCM Formula to Find Lowest Common Multiple of 938,916,883,894,883

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.

938 x 916 x 883 x 894 x 883 = 598904033522928

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.

938 : 1, 2, 7, 14, 67, 134, 469, 938

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

883 : 1, 883

894 : 1, 2, 3, 6, 149, 298, 447, 894

883 : 1, 883

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,916,883,894,883, is 1.

Now, the common factors can be found like this.

938:2x 7x 67

916:2x 2x 229

883:883

894:2x 3x 149

883:883

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 883 = 3532

Therefore, the value for common factors is 3532.

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 = 598904033522928/(1x3532)

LCM = 598904033522928/3532

LCM = 169565128404

Thus, we can understand that the LCM of 938,916,883,894,883 is 169565128404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 938, 916, 883, 894, 883

1. What is the LCM of 938, 916, 883, 894, 883?

Answer: LCM of 938, 916, 883, 894, 883 is 169565128404.

2. How to calculate the LCM of 938, 916, 883, 894, 883?

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 938, 916, 883, 894, 883.

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}.