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LCM of 517, 633, 173, 195

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


Find the LCM of 517, 633, 173, 195 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 517, 633, 173, 195. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,633,173,195

Given numbers are 517,633,173,195

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

The LCM of 517,633,173,195 is 3680049945.

Find LCM of 517,633,173,195 with Prime Factorization


3 517, 633, 173, 195
517, 211, 173, 65

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

3 x 517 x 211 x 173 x 65 = 3680049945

Therefore, the lowest common multiple of 517,633,173,195 is 3680049945.

LCM Formula to Find Lowest Common Multiple of 517,633,173,195

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.

517 x 633 x 173 x 195 = 11040149835

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.

517 : 1, 11, 47, 517

633 : 1, 3, 211, 633

173 : 1, 173

195 : 1, 3, 5, 13, 15, 39, 65, 195

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,633,173,195, is 1.

Now, the common factors can be found like this.

517:11x 47

633:3x 211

173:173

195:3x 5x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 11040149835/(1x3)

LCM = 11040149835/3

LCM = 3680049945

Thus, we can understand that the LCM of 517,633,173,195 is 3680049945.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 633, 173, 195

1. What is the LCM of 517, 633, 173, 195?

Answer: LCM of 517, 633, 173, 195 is 3680049945.

2. How to calculate the LCM of 517, 633, 173, 195?

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 517, 633, 173, 195.

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}.