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LCM of 915, 572, 897, 369

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


Find the LCM of 915, 572, 897, 369 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 915, 572, 897, 369. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 915,572,897,369

Given numbers are 915,572,897,369

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

The LCM of 915,572,897,369 is 1480642020.

Find LCM of 915,572,897,369 with Prime Factorization


3 915, 572, 897, 369
13 305, 572, 299, 123
305, 44, 23, 123

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

3 x 13 x 305 x 44 x 23 x 123 = 1480642020

Therefore, the lowest common multiple of 915,572,897,369 is 1480642020.

LCM Formula to Find Lowest Common Multiple of 915,572,897,369

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.

915 x 572 x 897 x 369 = 173235116340

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.

915 : 1, 3, 5, 15, 61, 183, 305, 915

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

897 : 1, 3, 13, 23, 39, 69, 299, 897

369 : 1, 3, 9, 41, 123, 369

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,572,897,369, is 1.

Now, the common factors can be found like this.

915:3x 5x 61

572:2x 2x 11x 13

897:3x 13x 23

369:3x 3x 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 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 173235116340/(1x117)

LCM = 173235116340/117

LCM = 1480642020

Thus, we can understand that the LCM of 915,572,897,369 is 1480642020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 915, 572, 897, 369

1. What is the LCM of 915, 572, 897, 369?

Answer: LCM of 915, 572, 897, 369 is 1480642020.

2. How to calculate the LCM of 915, 572, 897, 369?

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 915, 572, 897, 369.

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}.