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LCM of 241, 841, 243, 899, 512

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


Find the LCM of 241, 841, 243, 899, 512 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 241, 841, 243, 899, 512. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,841,243,899,512

Given numbers are 241,841,243,899,512

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

The LCM of 241,841,243,899,512 is 781719538176.

Find LCM of 241,841,243,899,512 with Prime Factorization


29 241, 841, 243, 899, 512
241, 29, 243, 31, 512

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

29 x 241 x 29 x 243 x 31 x 512 = 781719538176

Therefore, the lowest common multiple of 241,841,243,899,512 is 781719538176.

LCM Formula to Find Lowest Common Multiple of 241,841,243,899,512

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.

241 x 841 x 243 x 899 x 512 = 22669866607104

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.

241 : 1, 241

841 : 1, 29, 841

243 : 1, 3, 9, 27, 81, 243

899 : 1, 29, 31, 899

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,841,243,899,512, is 1.

Now, the common factors can be found like this.

241:241

841:29x 29

243:3x 3x 3x 3x 3

899:29x 31

512:2x 2x 2x 2x 2x 2x 2x 2x 2

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

29 = 29

Therefore, the value for common factors is 29.

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 = 22669866607104/(1x29)

LCM = 22669866607104/29

LCM = 781719538176

Thus, we can understand that the LCM of 241,841,243,899,512 is 781719538176.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 841, 243, 899, 512

1. What is the LCM of 241, 841, 243, 899, 512?

Answer: LCM of 241, 841, 243, 899, 512 is 781719538176.

2. How to calculate the LCM of 241, 841, 243, 899, 512?

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 241, 841, 243, 899, 512.

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}.