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LCM of 409, 297, 121, 595, 287

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


Find the LCM of 409, 297, 121, 595, 287 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 409, 297, 121, 595, 287. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,297,121,595,287

Given numbers are 409,297,121,595,287

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

The LCM of 409,297,121,595,287 is 32596672185.

Find LCM of 409,297,121,595,287 with Prime Factorization


7 409, 297, 121, 595, 287
11 409, 297, 121, 85, 41
409, 27, 11, 85, 41

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

7 x 11 x 409 x 27 x 11 x 85 x 41 = 32596672185

Therefore, the lowest common multiple of 409,297,121,595,287 is 32596672185.

LCM Formula to Find Lowest Common Multiple of 409,297,121,595,287

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.

409 x 297 x 121 x 595 x 287 = 2509943758245

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.

409 : 1, 409

297 : 1, 3, 9, 11, 27, 33, 99, 297

121 : 1, 11, 121

595 : 1, 5, 7, 17, 35, 85, 119, 595

287 : 1, 7, 41, 287

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,297,121,595,287, is 1.

Now, the common factors can be found like this.

409:409

297:3x 3x 3x 11

121:11x 11

595:5x 7x 17

287:7x 41

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

7x 11 = 77

Therefore, the value for common factors is 77.

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 = 2509943758245/(1x77)

LCM = 2509943758245/77

LCM = 32596672185

Thus, we can understand that the LCM of 409,297,121,595,287 is 32596672185.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 297, 121, 595, 287

1. What is the LCM of 409, 297, 121, 595, 287?

Answer: LCM of 409, 297, 121, 595, 287 is 32596672185.

2. How to calculate the LCM of 409, 297, 121, 595, 287?

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 409, 297, 121, 595, 287.

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}.