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LCM of 197, 901, 563, 459, 563

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


Find the LCM of 197, 901, 563, 459, 563 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 197, 901, 563, 459, 563. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,901,563,459,563

Given numbers are 197,901,563,459,563

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

The LCM of 197,901,563,459,563 is 2698131897.

Find LCM of 197,901,563,459,563 with Prime Factorization


17 197, 901, 563, 459, 563
563 197, 53, 563, 27, 563
197, 53, 1, 27, 1

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

17 x 563 x 197 x 53 x 1 x 27 x 1 = 2698131897

Therefore, the lowest common multiple of 197,901,563,459,563 is 2698131897.

LCM Formula to Find Lowest Common Multiple of 197,901,563,459,563

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.

197 x 901 x 563 x 459 x 563 = 25823820386187

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.

197 : 1, 197

901 : 1, 17, 53, 901

563 : 1, 563

459 : 1, 3, 9, 17, 27, 51, 153, 459

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,901,563,459,563, is 1.

Now, the common factors can be found like this.

197:197

901:17x 53

563:563

459:3x 3x 3x 17

563:563

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

17x 563 = 9571

Therefore, the value for common factors is 9571.

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 = 25823820386187/(1x9571)

LCM = 25823820386187/9571

LCM = 2698131897

Thus, we can understand that the LCM of 197,901,563,459,563 is 2698131897.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 901, 563, 459, 563

1. What is the LCM of 197, 901, 563, 459, 563?

Answer: LCM of 197, 901, 563, 459, 563 is 2698131897.

2. How to calculate the LCM of 197, 901, 563, 459, 563?

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 197, 901, 563, 459, 563.

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}.