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LCM of 529, 227, 128, 488, 246

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


Find the LCM of 529, 227, 128, 488, 246 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 529, 227, 128, 488, 246. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 529,227,128,488,246

Given numbers are 529,227,128,488,246

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

The LCM of 529,227,128,488,246 is 115325791872.

Find LCM of 529,227,128,488,246 with Prime Factorization


2 529, 227, 128, 488, 246
2 529, 227, 64, 244, 123
2 529, 227, 32, 122, 123
529, 227, 16, 61, 123

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

2 x 2 x 2 x 529 x 227 x 16 x 61 x 123 = 115325791872

Therefore, the lowest common multiple of 529,227,128,488,246 is 115325791872.

LCM Formula to Find Lowest Common Multiple of 529,227,128,488,246

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.

529 x 227 x 128 x 488 x 246 = 1845212669952

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.

529 : 1, 23, 529

227 : 1, 227

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

488 : 1, 2, 4, 8, 61, 122, 244, 488

246 : 1, 2, 3, 6, 41, 82, 123, 246

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,227,128,488,246, is 1.

Now, the common factors can be found like this.

529:23x 23

227:227

128:2x 2x 2x 2x 2x 2x 2

488:2x 2x 2x 61

246:2x 3x 41

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 2 = 16

Therefore, the value for common factors is 16.

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 = 1845212669952/(1x16)

LCM = 1845212669952/16

LCM = 115325791872

Thus, we can understand that the LCM of 529,227,128,488,246 is 115325791872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 529, 227, 128, 488, 246

1. What is the LCM of 529, 227, 128, 488, 246?

Answer: LCM of 529, 227, 128, 488, 246 is 115325791872.

2. How to calculate the LCM of 529, 227, 128, 488, 246?

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 529, 227, 128, 488, 246.

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}.