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LCM of 563, 365, 529, 207

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


Find the LCM of 563, 365, 529, 207 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, 365, 529, 207. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 563,365,529,207

Given numbers are 563,365,529,207

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

The LCM of 563,365,529,207 is 978361695.

Find LCM of 563,365,529,207 with Prime Factorization


23 563, 365, 529, 207
563, 365, 23, 9

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

23 x 563 x 365 x 23 x 9 = 978361695

Therefore, the lowest common multiple of 563,365,529,207 is 978361695.

LCM Formula to Find Lowest Common Multiple of 563,365,529,207

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 365 x 529 x 207 = 22502318985

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

365 : 1, 5, 73, 365

529 : 1, 23, 529

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,365,529,207, is 1.

Now, the common factors can be found like this.

563:563

365:5x 73

529:23x 23

207:3x 3x 23

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

23 = 23

Therefore, the value for common factors is 23.

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 = 22502318985/(1x23)

LCM = 22502318985/23

LCM = 978361695

Thus, we can understand that the LCM of 563,365,529,207 is 978361695.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 563, 365, 529, 207

1. What is the LCM of 563, 365, 529, 207?

Answer: LCM of 563, 365, 529, 207 is 978361695.

2. How to calculate the LCM of 563, 365, 529, 207?

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, 365, 529, 207.

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}.