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LCM of 717, 128, 461, 671, 243

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


Find the LCM of 717, 128, 461, 671, 243 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 717, 128, 461, 671, 243. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,128,461,671,243

Given numbers are 717,128,461,671,243

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

The LCM of 717,128,461,671,243 is 2299522110336.

Find LCM of 717,128,461,671,243 with Prime Factorization


3 717, 128, 461, 671, 243
239, 128, 461, 671, 81

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

3 x 239 x 128 x 461 x 671 x 81 = 2299522110336

Therefore, the lowest common multiple of 717,128,461,671,243 is 2299522110336.

LCM Formula to Find Lowest Common Multiple of 717,128,461,671,243

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.

717 x 128 x 461 x 671 x 243 = 6898566331008

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.

717 : 1, 3, 239, 717

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

461 : 1, 461

671 : 1, 11, 61, 671

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,128,461,671,243, is 1.

Now, the common factors can be found like this.

717:3x 239

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

461:461

671:11x 61

243:3x 3x 3x 3x 3

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

3 = 3

Therefore, the value for common factors is 3.

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 = 6898566331008/(1x3)

LCM = 6898566331008/3

LCM = 2299522110336

Thus, we can understand that the LCM of 717,128,461,671,243 is 2299522110336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 128, 461, 671, 243

1. What is the LCM of 717, 128, 461, 671, 243?

Answer: LCM of 717, 128, 461, 671, 243 is 2299522110336.

2. How to calculate the LCM of 717, 128, 461, 671, 243?

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 717, 128, 461, 671, 243.

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}.