Find the LCM of 791, 824, 832, 442, 560 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, 824, 832, 442, 560. So, keep reading to learn more.
Given numbers are 791,824,832,442,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,824,832,442,560 is 5761770560.
Find LCM of 791,824,832,442,560 with Prime Factorization
2 | 791, 824, 832, 442, 560 |
2 | 791, 412, 416, 221, 280 |
2 | 791, 206, 208, 221, 140 |
2 | 791, 103, 104, 221, 70 |
7 | 791, 103, 52, 221, 35 |
13 | 113, 103, 52, 221, 5 |
113, 103, 4, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 13 x 113 x 103 x 4 x 17 x 5 = 5761770560
Therefore, the lowest common multiple of 791,824,832,442,560 is 5761770560.
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 824 x 832 x 442 x 560 = 134226206965760
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
824 : 1, 2, 4, 8, 103, 206, 412, 824
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
442 : 1, 2, 13, 17, 26, 34, 221, 442
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,824,832,442,560, is 1.
Now, the common factors can be found like this.
791:7x 113
824:2x 2x 2x 103
832:2x 2x 2x 2x 2x 2x 13
442:2x 13x 17
560:2x 2x 2x 2x 5x 7
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 2x 2x 2x 2x 2x 2x 7x 13 = 23296
Therefore, the value for common factors is 23296.
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 = 134226206965760/(1x23296)
LCM = 134226206965760/23296
LCM = 5761770560
Thus, we can understand that the LCM of 791,824,832,442,560 is 5761770560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 791, 824, 832, 442, 560?
Answer: LCM of 791, 824, 832, 442, 560 is 5761770560.
2. How to calculate the LCM of 791, 824, 832, 442, 560?
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, 824, 832, 442, 560.
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}.