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LCM of 915, 120, 538, 289

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


Find the LCM of 915, 120, 538, 289 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, 120, 538, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 915,120,538,289

Given numbers are 915,120,538,289

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

The LCM of 915,120,538,289 is 569064120.

Find LCM of 915,120,538,289 with Prime Factorization


2 915, 120, 538, 289
3 915, 60, 269, 289
5 305, 20, 269, 289
61, 4, 269, 289

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

2 x 3 x 5 x 61 x 4 x 269 x 289 = 569064120

Therefore, the lowest common multiple of 915,120,538,289 is 569064120.

LCM Formula to Find Lowest Common Multiple of 915,120,538,289

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 120 x 538 x 289 = 17071923600

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

538 : 1, 2, 269, 538

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,120,538,289, is 1.

Now, the common factors can be found like this.

915:3x 5x 61

120:2x 2x 2x 3x 5

538:2x 269

289:17x 17

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

2x 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 17071923600/(1x30)

LCM = 17071923600/30

LCM = 569064120

Thus, we can understand that the LCM of 915,120,538,289 is 569064120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 915, 120, 538, 289

1. What is the LCM of 915, 120, 538, 289?

Answer: LCM of 915, 120, 538, 289 is 569064120.

2. How to calculate the LCM of 915, 120, 538, 289?

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, 120, 538, 289.

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}.