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LCM of 767, 629, 638, 689

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


Find the LCM of 767, 629, 638, 689 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 767, 629, 638, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,629,638,689

Given numbers are 767,629,638,689

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

The LCM of 767,629,638,689 is 16313327602.

Find LCM of 767,629,638,689 with Prime Factorization


13 767, 629, 638, 689
59, 629, 638, 53

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

13 x 59 x 629 x 638 x 53 = 16313327602

Therefore, the lowest common multiple of 767,629,638,689 is 16313327602.

LCM Formula to Find Lowest Common Multiple of 767,629,638,689

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.

767 x 629 x 638 x 689 = 212073258826

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.

767 : 1, 13, 59, 767

629 : 1, 17, 37, 629

638 : 1, 2, 11, 22, 29, 58, 319, 638

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,629,638,689, is 1.

Now, the common factors can be found like this.

767:13x 59

629:17x 37

638:2x 11x 29

689:13x 53

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

13 = 13

Therefore, the value for common factors is 13.

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 = 212073258826/(1x13)

LCM = 212073258826/13

LCM = 16313327602

Thus, we can understand that the LCM of 767,629,638,689 is 16313327602.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 629, 638, 689

1. What is the LCM of 767, 629, 638, 689?

Answer: LCM of 767, 629, 638, 689 is 16313327602.

2. How to calculate the LCM of 767, 629, 638, 689?

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 767, 629, 638, 689.

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}.