Find the LCM of 791, 489, 815, 284 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 791, 489, 815, 284. So, keep reading to learn more.
Given numbers are 791,489,815,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,489,815,284 is 549254580.
Find LCM of 791,489,815,284 with Prime Factorization
163 | 791, 489, 815, 284 |
791, 3, 5, 284 |
Multiply the prime numbers at the bottom and the left side.
163 x 791 x 3 x 5 x 284 = 549254580
Therefore, the lowest common multiple of 791,489,815,284 is 549254580.
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.
791 x 489 x 815 x 284 = 89528496540
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.
791 : 1, 7, 113, 791
489 : 1, 3, 163, 489
815 : 1, 5, 163, 815
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,489,815,284, is 1.
Now, the common factors can be found like this.
791:7x 113
489:3x 163
815:5x 163
284:2x 2x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
163 = 163
Therefore, the value for common factors is 163.
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 = 89528496540/(1x163)
LCM = 89528496540/163
LCM = 549254580
Thus, we can understand that the LCM of 791,489,815,284 is 549254580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 791, 489, 815, 284?
Answer: LCM of 791, 489, 815, 284 is 549254580.
2. How to calculate the LCM of 791, 489, 815, 284?
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 791, 489, 815, 284.
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}.