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LCM of 629, 866, 682, 977, 653

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


Find the LCM of 629, 866, 682, 977, 653 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 629, 866, 682, 977, 653. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,866,682,977,653

Given numbers are 629,866,682,977,653

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

The LCM of 629,866,682,977,653 is 118503359209994.

Find LCM of 629,866,682,977,653 with Prime Factorization


2 629, 866, 682, 977, 653
629, 433, 341, 977, 653

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

2 x 629 x 433 x 341 x 977 x 653 = 118503359209994

Therefore, the lowest common multiple of 629,866,682,977,653 is 118503359209994.

LCM Formula to Find Lowest Common Multiple of 629,866,682,977,653

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.

629 x 866 x 682 x 977 x 653 = 237006718419988

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.

629 : 1, 17, 37, 629

866 : 1, 2, 433, 866

682 : 1, 2, 11, 22, 31, 62, 341, 682

977 : 1, 977

653 : 1, 653

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,866,682,977,653, is 1.

Now, the common factors can be found like this.

629:17x 37

866:2x 433

682:2x 11x 31

977:977

653:653

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

2 = 2

Therefore, the value for common factors is 2.

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 = 237006718419988/(1x2)

LCM = 237006718419988/2

LCM = 118503359209994

Thus, we can understand that the LCM of 629,866,682,977,653 is 118503359209994.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 866, 682, 977, 653

1. What is the LCM of 629, 866, 682, 977, 653?

Answer: LCM of 629, 866, 682, 977, 653 is 118503359209994.

2. How to calculate the LCM of 629, 866, 682, 977, 653?

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 629, 866, 682, 977, 653.

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}.