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LCM of 217, 797, 615, 779, 452

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


Find the LCM of 217, 797, 615, 779, 452 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 217, 797, 615, 779, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 217,797,615,779,452

Given numbers are 217,797,615,779,452

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

The LCM of 217,797,615,779,452 is 913450897380.

Find LCM of 217,797,615,779,452 with Prime Factorization


41 217, 797, 615, 779, 452
217, 797, 15, 19, 452

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

41 x 217 x 797 x 15 x 19 x 452 = 913450897380

Therefore, the lowest common multiple of 217,797,615,779,452 is 913450897380.

LCM Formula to Find Lowest Common Multiple of 217,797,615,779,452

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.

217 x 797 x 615 x 779 x 452 = 37451486792580

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.

217 : 1, 7, 31, 217

797 : 1, 797

615 : 1, 3, 5, 15, 41, 123, 205, 615

779 : 1, 19, 41, 779

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,797,615,779,452, is 1.

Now, the common factors can be found like this.

217:7x 31

797:797

615:3x 5x 41

779:19x 41

452:2x 2x 113

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

41 = 41

Therefore, the value for common factors is 41.

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 = 37451486792580/(1x41)

LCM = 37451486792580/41

LCM = 913450897380

Thus, we can understand that the LCM of 217,797,615,779,452 is 913450897380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 217, 797, 615, 779, 452

1. What is the LCM of 217, 797, 615, 779, 452?

Answer: LCM of 217, 797, 615, 779, 452 is 913450897380.

2. How to calculate the LCM of 217, 797, 615, 779, 452?

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 217, 797, 615, 779, 452.

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}.