LCM of 958, 845, 529, 598, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 845, 529, 598, 676 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 958, 845, 529, 598, 676. So, keep reading to learn more.
Given numbers are 958,845,529,598,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,845,529,598,676 is 856461580.
Find LCM of 958,845,529,598,676 with Prime Factorization
| 2 | 958, 845, 529, 598, 676 |
| 13 | 479, 845, 529, 299, 338 |
| 13 | 479, 65, 529, 23, 26 |
| 23 | 479, 5, 529, 23, 2 |
| 479, 5, 1, 23, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 23 x 479 x 5 x 1 x 23 x 2 = 856461580
Therefore, the lowest common multiple of 958,845,529,598,676 is 856461580.
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.
958 x 845 x 529 x 598 x 676 = 173111440395920
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.
958 : 1, 2, 479, 958
845 : 1, 5, 13, 65, 169, 845
529 : 1, 23, 529
598 : 1, 2, 13, 23, 26, 46, 299, 598
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,845,529,598,676, is 1.
Now, the common factors can be found like this.
958:2x 479
845:5x 13x 13
529:23x 23
598:2x 13x 23
676:2x 2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 13x 13x 13x 23 = 202124
Therefore, the value for common factors is 202124.
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 = 173111440395920/(1x202124)
LCM = 173111440395920/202124
LCM = 856461580
Thus, we can understand that the LCM of 958,845,529,598,676 is 856461580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 958, 845, 529, 598, 676
1. What is the LCM of 958, 845, 529, 598, 676?
Answer: LCM of 958, 845, 529, 598, 676 is 856461580.
2. How to calculate the LCM of 958, 845, 529, 598, 676?
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 958, 845, 529, 598, 676.
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}.