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LCM of 629, 170, 138, 753, 717

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


Find the LCM of 629, 170, 138, 753, 717 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 629, 170, 138, 753, 717. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,170,138,753,717

Given numbers are 629,170,138,753,717

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

The LCM of 629,170,138,753,717 is 26035825890.

Find LCM of 629,170,138,753,717 with Prime Factorization


2 629, 170, 138, 753, 717
3 629, 85, 69, 753, 717
17 629, 85, 23, 251, 239
37, 5, 23, 251, 239

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

2 x 3 x 17 x 37 x 5 x 23 x 251 x 239 = 26035825890

Therefore, the lowest common multiple of 629,170,138,753,717 is 26035825890.

LCM Formula to Find Lowest Common Multiple of 629,170,138,753,717

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.

629 x 170 x 138 x 753 x 717 = 7966962722340

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.

629 : 1, 17, 37, 629

170 : 1, 2, 5, 10, 17, 34, 85, 170

138 : 1, 2, 3, 6, 23, 46, 69, 138

753 : 1, 3, 251, 753

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,170,138,753,717, is 1.

Now, the common factors can be found like this.

629:17x 37

170:2x 5x 17

138:2x 3x 23

753:3x 251

717:3x 239

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 3x 17 = 306

Therefore, the value for common factors is 306.

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 = 7966962722340/(1x306)

LCM = 7966962722340/306

LCM = 26035825890

Thus, we can understand that the LCM of 629,170,138,753,717 is 26035825890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 170, 138, 753, 717

1. What is the LCM of 629, 170, 138, 753, 717?

Answer: LCM of 629, 170, 138, 753, 717 is 26035825890.

2. How to calculate the LCM of 629, 170, 138, 753, 717?

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 629, 170, 138, 753, 717.

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}.