LCM of 923, 103, 767, 559, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 103, 767, 559, 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 923, 103, 767, 559, 989. So, keep reading to learn more.
Given numbers are 923,103,767,559,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,103,767,559,989 is 5547371219.
Find LCM of 923,103,767,559,989 with Prime Factorization
| 13 | 923, 103, 767, 559, 989 |
| 43 | 71, 103, 59, 43, 989 |
| 71, 103, 59, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
13 x 43 x 71 x 103 x 59 x 1 x 23 = 5547371219
Therefore, the lowest common multiple of 923,103,767,559,989 is 5547371219.
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.
923 x 103 x 767 x 559 x 989 = 40312746648473
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.
923 : 1, 13, 71, 923
103 : 1, 103
767 : 1, 13, 59, 767
559 : 1, 13, 43, 559
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,103,767,559,989, is 1.
Now, the common factors can be found like this.
923:13x 71
103:103
767:13x 59
559:13x 43
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.
13x 13x 43 = 7267
Therefore, the value for common factors is 7267.
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 = 40312746648473/(1x7267)
LCM = 40312746648473/7267
LCM = 5547371219
Thus, we can understand that the LCM of 923,103,767,559,989 is 5547371219.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 923, 103, 767, 559, 989
1. What is the LCM of 923, 103, 767, 559, 989?
Answer: LCM of 923, 103, 767, 559, 989 is 5547371219.
2. How to calculate the LCM of 923, 103, 767, 559, 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 923, 103, 767, 559, 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}.