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LCM of 677, 136, 529, 677, 591

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


Find the LCM of 677, 136, 529, 677, 591 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 677, 136, 529, 677, 591. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 677,136,529,677,591

Given numbers are 677,136,529,677,591

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

The LCM of 677,136,529,677,591 is 28785298008.

Find LCM of 677,136,529,677,591 with Prime Factorization


677 677, 136, 529, 677, 591
1, 136, 529, 1, 591

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

677 x 1 x 136 x 529 x 1 x 591 = 28785298008

Therefore, the lowest common multiple of 677,136,529,677,591 is 28785298008.

LCM Formula to Find Lowest Common Multiple of 677,136,529,677,591

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.

677 x 136 x 529 x 677 x 591 = 19487646751416

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.

677 : 1, 677

136 : 1, 2, 4, 8, 17, 34, 68, 136

529 : 1, 23, 529

677 : 1, 677

591 : 1, 3, 197, 591

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,136,529,677,591, is 1.

Now, the common factors can be found like this.

677:677

136:2x 2x 2x 17

529:23x 23

677:677

591:3x 197

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

677 = 677

Therefore, the value for common factors is 677.

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 = 19487646751416/(1x677)

LCM = 19487646751416/677

LCM = 28785298008

Thus, we can understand that the LCM of 677,136,529,677,591 is 28785298008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 677, 136, 529, 677, 591

1. What is the LCM of 677, 136, 529, 677, 591?

Answer: LCM of 677, 136, 529, 677, 591 is 28785298008.

2. How to calculate the LCM of 677, 136, 529, 677, 591?

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 677, 136, 529, 677, 591.

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}.