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LCM of 722, 332, 789, 857, 809

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


Find the LCM of 722, 332, 789, 857, 809 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 722, 332, 789, 857, 809. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 722,332,789,857,809

Given numbers are 722,332,789,857,809

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

The LCM of 722,332,789,857,809 is 65561915294364.

Find LCM of 722,332,789,857,809 with Prime Factorization


2 722, 332, 789, 857, 809
361, 166, 789, 857, 809

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

2 x 361 x 166 x 789 x 857 x 809 = 65561915294364

Therefore, the lowest common multiple of 722,332,789,857,809 is 65561915294364.

LCM Formula to Find Lowest Common Multiple of 722,332,789,857,809

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.

722 x 332 x 789 x 857 x 809 = 131123830588728

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.

722 : 1, 2, 19, 38, 361, 722

332 : 1, 2, 4, 83, 166, 332

789 : 1, 3, 263, 789

857 : 1, 857

809 : 1, 809

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,332,789,857,809, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

332:2x 2x 83

789:3x 263

857:857

809:809

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

2 = 2

Therefore, the value for common factors is 2.

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 = 131123830588728/(1x2)

LCM = 131123830588728/2

LCM = 65561915294364

Thus, we can understand that the LCM of 722,332,789,857,809 is 65561915294364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 722, 332, 789, 857, 809

1. What is the LCM of 722, 332, 789, 857, 809?

Answer: LCM of 722, 332, 789, 857, 809 is 65561915294364.

2. How to calculate the LCM of 722, 332, 789, 857, 809?

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 722, 332, 789, 857, 809.

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}.