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LCM of 806, 789, 637, 173

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


Find the LCM of 806, 789, 637, 173 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 806, 789, 637, 173. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 806,789,637,173

Given numbers are 806,789,637,173

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

The LCM of 806,789,637,173 is 5390812518.

Find LCM of 806,789,637,173 with Prime Factorization


13 806, 789, 637, 173
62, 789, 49, 173

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

13 x 62 x 789 x 49 x 173 = 5390812518

Therefore, the lowest common multiple of 806,789,637,173 is 5390812518.

LCM Formula to Find Lowest Common Multiple of 806,789,637,173

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.

806 x 789 x 637 x 173 = 70080562734

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.

806 : 1, 2, 13, 26, 31, 62, 403, 806

789 : 1, 3, 263, 789

637 : 1, 7, 13, 49, 91, 637

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,789,637,173, is 1.

Now, the common factors can be found like this.

806:2x 13x 31

789:3x 263

637:7x 7x 13

173:173

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

13 = 13

Therefore, the value for common factors is 13.

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 = 70080562734/(1x13)

LCM = 70080562734/13

LCM = 5390812518

Thus, we can understand that the LCM of 806,789,637,173 is 5390812518.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 806, 789, 637, 173

1. What is the LCM of 806, 789, 637, 173?

Answer: LCM of 806, 789, 637, 173 is 5390812518.

2. How to calculate the LCM of 806, 789, 637, 173?

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 806, 789, 637, 173.

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}.