LCM of 989, 963, 986, 107, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 963, 986, 107, 747 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 989, 963, 986, 107, 747. So, keep reading to learn more.
Given numbers are 989,963,986,107,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,963,986,107,747 is 77943084066.
Find LCM of 989,963,986,107,747 with Prime Factorization
| 3 | 989, 963, 986, 107, 747 |
| 3 | 989, 321, 986, 107, 249 |
| 107 | 989, 107, 986, 107, 83 |
| 989, 1, 986, 1, 83 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 107 x 989 x 1 x 986 x 1 x 83 = 77943084066
Therefore, the lowest common multiple of 989,963,986,107,747 is 77943084066.
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.
989 x 963 x 986 x 107 x 747 = 75059189955558
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.
989 : 1, 23, 43, 989
963 : 1, 3, 9, 107, 321, 963
986 : 1, 2, 17, 29, 34, 58, 493, 986
107 : 1, 107
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,963,986,107,747, is 1.
Now, the common factors can be found like this.
989:23x 43
963:3x 3x 107
986:2x 17x 29
107:107
747:3x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 107 = 963
Therefore, the value for common factors is 963.
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 = 75059189955558/(1x963)
LCM = 75059189955558/963
LCM = 77943084066
Thus, we can understand that the LCM of 989,963,986,107,747 is 77943084066.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 963, 986, 107, 747
1. What is the LCM of 989, 963, 986, 107, 747?
Answer: LCM of 989, 963, 986, 107, 747 is 77943084066.
2. How to calculate the LCM of 989, 963, 986, 107, 747?
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 989, 963, 986, 107, 747.
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}.