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LCM of 563, 541, 187, 555, 253

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


Find the LCM of 563, 541, 187, 555, 253 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 563, 541, 187, 555, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 563,541,187,555,253

Given numbers are 563,541,187,555,253

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

The LCM of 563,541,187,555,253 is 727056373065.

Find LCM of 563,541,187,555,253 with Prime Factorization


11 563, 541, 187, 555, 253
563, 541, 17, 555, 23

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

11 x 563 x 541 x 17 x 555 x 23 = 727056373065

Therefore, the lowest common multiple of 563,541,187,555,253 is 727056373065.

LCM Formula to Find Lowest Common Multiple of 563,541,187,555,253

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.

563 x 541 x 187 x 555 x 253 = 7997620103715

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.

563 : 1, 563

541 : 1, 541

187 : 1, 11, 17, 187

555 : 1, 3, 5, 15, 37, 111, 185, 555

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,541,187,555,253, is 1.

Now, the common factors can be found like this.

563:563

541:541

187:11x 17

555:3x 5x 37

253:11x 23

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

11 = 11

Therefore, the value for common factors is 11.

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 = 7997620103715/(1x11)

LCM = 7997620103715/11

LCM = 727056373065

Thus, we can understand that the LCM of 563,541,187,555,253 is 727056373065.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 563, 541, 187, 555, 253

1. What is the LCM of 563, 541, 187, 555, 253?

Answer: LCM of 563, 541, 187, 555, 253 is 727056373065.

2. How to calculate the LCM of 563, 541, 187, 555, 253?

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 563, 541, 187, 555, 253.

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}.