Find the LCM of 765, 740, 792, 793, 845 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 765, 740, 792, 793, 845. So, keep reading to learn more.
Given numbers are 765,740,792,793,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,740,792,793,845 is 25678069560.
Find LCM of 765,740,792,793,845 with Prime Factorization
2 | 765, 740, 792, 793, 845 |
2 | 765, 370, 396, 793, 845 |
3 | 765, 185, 198, 793, 845 |
3 | 255, 185, 66, 793, 845 |
5 | 85, 185, 22, 793, 845 |
13 | 17, 37, 22, 793, 169 |
17, 37, 22, 61, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 13 x 17 x 37 x 22 x 61 x 13 = 25678069560
Therefore, the lowest common multiple of 765,740,792,793,845 is 25678069560.
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.
765 x 740 x 792 x 793 x 845 = 300433413852000
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
793 : 1, 13, 61, 793
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,740,792,793,845, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
740:2x 2x 5x 37
792:2x 2x 2x 3x 3x 11
793:13x 61
845:5x 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 3x 3x 5x 5x 13 = 11700
Therefore, the value for common factors is 11700.
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 = 300433413852000/(1x11700)
LCM = 300433413852000/11700
LCM = 25678069560
Thus, we can understand that the LCM of 765,740,792,793,845 is 25678069560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 765, 740, 792, 793, 845?
Answer: LCM of 765, 740, 792, 793, 845 is 25678069560.
2. How to calculate the LCM of 765, 740, 792, 793, 845?
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 765, 740, 792, 793, 845.
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}.