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LCM of 629, 949, 871, 787, 989

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


Find the LCM of 629, 949, 871, 787, 989 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, 949, 871, 787, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,949,871,787,989

Given numbers are 629,949,871,787,989

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

The LCM of 629,949,871,787,989 is 31128821887501.

Find LCM of 629,949,871,787,989 with Prime Factorization


13 629, 949, 871, 787, 989
629, 73, 67, 787, 989

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

13 x 629 x 73 x 67 x 787 x 989 = 31128821887501

Therefore, the lowest common multiple of 629,949,871,787,989 is 31128821887501.

LCM Formula to Find Lowest Common Multiple of 629,949,871,787,989

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 949 x 871 x 787 x 989 = 404674684537513

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

949 : 1, 13, 73, 949

871 : 1, 13, 67, 871

787 : 1, 787

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,949,871,787,989, is 1.

Now, the common factors can be found like this.

629:17x 37

949:13x 73

871:13x 67

787:787

989:23x 43

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 = 404674684537513/(1x13)

LCM = 404674684537513/13

LCM = 31128821887501

Thus, we can understand that the LCM of 629,949,871,787,989 is 31128821887501.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 949, 871, 787, 989

1. What is the LCM of 629, 949, 871, 787, 989?

Answer: LCM of 629, 949, 871, 787, 989 is 31128821887501.

2. How to calculate the LCM of 629, 949, 871, 787, 989?

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, 949, 871, 787, 989.

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}.