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LCM of 261, 215, 608, 648, 817

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


Find the LCM of 261, 215, 608, 648, 817 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 261, 215, 608, 648, 817. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 261,215,608,648,817

Given numbers are 261,215,608,648,817

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

The LCM of 261,215,608,648,817 is 307061280.

Find LCM of 261,215,608,648,817 with Prime Factorization


2 261, 215, 608, 648, 817
2 261, 215, 304, 324, 817
2 261, 215, 152, 162, 817
3 261, 215, 76, 81, 817
3 87, 215, 76, 27, 817
19 29, 215, 76, 9, 817
43 29, 215, 4, 9, 43
29, 5, 4, 9, 1

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

2 x 2 x 2 x 3 x 3 x 19 x 43 x 29 x 5 x 4 x 9 x 1 = 307061280

Therefore, the lowest common multiple of 261,215,608,648,817 is 307061280.

LCM Formula to Find Lowest Common Multiple of 261,215,608,648,817

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.

261 x 215 x 608 x 648 x 817 = 18062572734720

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.

261 : 1, 3, 9, 29, 87, 261

215 : 1, 5, 43, 215

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,215,608,648,817, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

215:5x 43

608:2x 2x 2x 2x 2x 19

648:2x 2x 2x 3x 3x 3x 3

817:19x 43

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

2x 2x 2x 3x 3x 19x 43 = 58824

Therefore, the value for common factors is 58824.

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 = 18062572734720/(1x58824)

LCM = 18062572734720/58824

LCM = 307061280

Thus, we can understand that the LCM of 261,215,608,648,817 is 307061280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 261, 215, 608, 648, 817

1. What is the LCM of 261, 215, 608, 648, 817?

Answer: LCM of 261, 215, 608, 648, 817 is 307061280.

2. How to calculate the LCM of 261, 215, 608, 648, 817?

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 261, 215, 608, 648, 817.

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}.