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LCM of 631, 988, 377, 111, 689

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


Find the LCM of 631, 988, 377, 111, 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 631, 988, 377, 111, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 631,988,377,111,689

Given numbers are 631,988,377,111,689

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

The LCM of 631,988,377,111,689 is 106361180796.

Find LCM of 631,988,377,111,689 with Prime Factorization


13 631, 988, 377, 111, 689
631, 76, 29, 111, 53

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

13 x 631 x 76 x 29 x 111 x 53 = 106361180796

Therefore, the lowest common multiple of 631,988,377,111,689 is 106361180796.

LCM Formula to Find Lowest Common Multiple of 631,988,377,111,689

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.

631 x 988 x 377 x 111 x 689 = 17975039554524

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.

631 : 1, 631

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

377 : 1, 13, 29, 377

111 : 1, 3, 37, 111

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,988,377,111,689, is 1.

Now, the common factors can be found like this.

631:631

988:2x 2x 13x 19

377:13x 29

111:3x 37

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.

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 17975039554524/(1x169)

LCM = 17975039554524/169

LCM = 106361180796

Thus, we can understand that the LCM of 631,988,377,111,689 is 106361180796.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 631, 988, 377, 111, 689

1. What is the LCM of 631, 988, 377, 111, 689?

Answer: LCM of 631, 988, 377, 111, 689 is 106361180796.

2. How to calculate the LCM of 631, 988, 377, 111, 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 631, 988, 377, 111, 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}.