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LCM of 914, 733, 939, 850, 685

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


Find the LCM of 914, 733, 939, 850, 685 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 914, 733, 939, 850, 685. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,733,939,850,685

Given numbers are 914,733,939,850,685

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

The LCM of 914,733,939,850,685 is 36629016665550.

Find LCM of 914,733,939,850,685 with Prime Factorization


2 914, 733, 939, 850, 685
5 457, 733, 939, 425, 685
457, 733, 939, 85, 137

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

2 x 5 x 457 x 733 x 939 x 85 x 137 = 36629016665550

Therefore, the lowest common multiple of 914,733,939,850,685 is 36629016665550.

LCM Formula to Find Lowest Common Multiple of 914,733,939,850,685

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.

914 x 733 x 939 x 850 x 685 = 366290166655500

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.

914 : 1, 2, 457, 914

733 : 1, 733

939 : 1, 3, 313, 939

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,733,939,850,685, is 1.

Now, the common factors can be found like this.

914:2x 457

733:733

939:3x 313

850:2x 5x 5x 17

685:5x 137

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 366290166655500/(1x10)

LCM = 366290166655500/10

LCM = 36629016665550

Thus, we can understand that the LCM of 914,733,939,850,685 is 36629016665550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 914, 733, 939, 850, 685

1. What is the LCM of 914, 733, 939, 850, 685?

Answer: LCM of 914, 733, 939, 850, 685 is 36629016665550.

2. How to calculate the LCM of 914, 733, 939, 850, 685?

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 914, 733, 939, 850, 685.

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}.