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LCM of 994, 483, 591, 783, 914

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


Find the LCM of 994, 483, 591, 783, 914 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, 483, 591, 783, 914. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 994,483,591,783,914

Given numbers are 994,483,591,783,914

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

The LCM of 994,483,591,783,914 is 1611604267434.

Find LCM of 994,483,591,783,914 with Prime Factorization


2 994, 483, 591, 783, 914
3 497, 483, 591, 783, 457
7 497, 161, 197, 261, 457
71, 23, 197, 261, 457

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

2 x 3 x 7 x 71 x 23 x 197 x 261 x 457 = 1611604267434

Therefore, the lowest common multiple of 994,483,591,783,914 is 1611604267434.

LCM Formula to Find Lowest Common Multiple of 994,483,591,783,914

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 483 x 591 x 783 x 914 = 203062137696684

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

483 : 1, 3, 7, 21, 23, 69, 161, 483

591 : 1, 3, 197, 591

783 : 1, 3, 9, 27, 29, 87, 261, 783

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,483,591,783,914, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

483:3x 7x 23

591:3x 197

783:3x 3x 3x 29

914:2x 457

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 203062137696684/(1x126)

LCM = 203062137696684/126

LCM = 1611604267434

Thus, we can understand that the LCM of 994,483,591,783,914 is 1611604267434.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 994, 483, 591, 783, 914

1. What is the LCM of 994, 483, 591, 783, 914?

Answer: LCM of 994, 483, 591, 783, 914 is 1611604267434.

2. How to calculate the LCM of 994, 483, 591, 783, 914?

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, 483, 591, 783, 914.

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}.