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LCM of 515, 589, 622, 536, 361

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


Find the LCM of 515, 589, 622, 536, 361 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 515, 589, 622, 536, 361. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,589,622,536,361

Given numbers are 515,589,622,536,361

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

The LCM of 515,589,622,536,361 is 960729892040.

Find LCM of 515,589,622,536,361 with Prime Factorization


2 515, 589, 622, 536, 361
19 515, 589, 311, 268, 361
515, 31, 311, 268, 19

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

2 x 19 x 515 x 31 x 311 x 268 x 19 = 960729892040

Therefore, the lowest common multiple of 515,589,622,536,361 is 960729892040.

LCM Formula to Find Lowest Common Multiple of 515,589,622,536,361

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.

515 x 589 x 622 x 536 x 361 = 36507735897520

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.

515 : 1, 5, 103, 515

589 : 1, 19, 31, 589

622 : 1, 2, 311, 622

536 : 1, 2, 4, 8, 67, 134, 268, 536

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,589,622,536,361, is 1.

Now, the common factors can be found like this.

515:5x 103

589:19x 31

622:2x 311

536:2x 2x 2x 67

361:19x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 36507735897520/(1x38)

LCM = 36507735897520/38

LCM = 960729892040

Thus, we can understand that the LCM of 515,589,622,536,361 is 960729892040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 589, 622, 536, 361

1. What is the LCM of 515, 589, 622, 536, 361?

Answer: LCM of 515, 589, 622, 536, 361 is 960729892040.

2. How to calculate the LCM of 515, 589, 622, 536, 361?

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 515, 589, 622, 536, 361.

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}.