Find the LCM of 770, 605, 845, 691, 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 770, 605, 845, 691, 560. So, keep reading to learn more.
Given numbers are 770,605,845,691,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,605,845,691,560 is 7912945040.
Find LCM of 770,605,845,691,560 with Prime Factorization
2 | 770, 605, 845, 691, 560 |
5 | 385, 605, 845, 691, 280 |
7 | 77, 121, 169, 691, 56 |
11 | 11, 121, 169, 691, 8 |
1, 11, 169, 691, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 1 x 11 x 169 x 691 x 8 = 7912945040
Therefore, the lowest common multiple of 770,605,845,691,560 is 7912945040.
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.
770 x 605 x 845 x 691 x 560 = 152324192020000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
605 : 1, 5, 11, 55, 121, 605
845 : 1, 5, 13, 65, 169, 845
691 : 1, 691
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 770,605,845,691,560, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
605:5x 11x 11
845:5x 13x 13
691:691
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 5x 5x 5x 7x 11 = 19250
Therefore, the value for common factors is 19250.
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 = 152324192020000/(1x19250)
LCM = 152324192020000/19250
LCM = 7912945040
Thus, we can understand that the LCM of 770,605,845,691,560 is 7912945040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 605, 845, 691, 560?
Answer: LCM of 770, 605, 845, 691, 560 is 7912945040.
2. How to calculate the LCM of 770, 605, 845, 691, 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 770, 605, 845, 691, 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}.