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LCM of 515, 256, 825, 825, 697

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


Find the LCM of 515, 256, 825, 825, 697 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, 256, 825, 825, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,256,825,825,697

Given numbers are 515,256,825,825,697

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

The LCM of 515,256,825,825,697 is 15162259200.

Find LCM of 515,256,825,825,697 with Prime Factorization


3 515, 256, 825, 825, 697
5 515, 256, 275, 275, 697
5 103, 256, 55, 55, 697
11 103, 256, 11, 11, 697
103, 256, 1, 1, 697

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

3 x 5 x 5 x 11 x 103 x 256 x 1 x 1 x 697 = 15162259200

Therefore, the lowest common multiple of 515,256,825,825,697 is 15162259200.

LCM Formula to Find Lowest Common Multiple of 515,256,825,825,697

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 256 x 825 x 825 x 697 = 62544319200000

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

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,256,825,825,697, is 1.

Now, the common factors can be found like this.

515:5x 103

256:2x 2x 2x 2x 2x 2x 2x 2

825:3x 5x 5x 11

825:3x 5x 5x 11

697:17x 41

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

3x 5x 5x 5x 11 = 4125

Therefore, the value for common factors is 4125.

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 = 62544319200000/(1x4125)

LCM = 62544319200000/4125

LCM = 15162259200

Thus, we can understand that the LCM of 515,256,825,825,697 is 15162259200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 256, 825, 825, 697

1. What is the LCM of 515, 256, 825, 825, 697?

Answer: LCM of 515, 256, 825, 825, 697 is 15162259200.

2. How to calculate the LCM of 515, 256, 825, 825, 697?

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, 256, 825, 825, 697.

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}.