Find the LCM of 711, 976, 815, 553, 745 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 711, 976, 815, 553, 745. So, keep reading to learn more.
Given numbers are 711,976,815,553,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,976,815,553,745 is 589876827120.
Find LCM of 711,976,815,553,745 with Prime Factorization
5 | 711, 976, 815, 553, 745 |
79 | 711, 976, 163, 553, 149 |
9, 976, 163, 7, 149 |
Multiply the prime numbers at the bottom and the left side.
5 x 79 x 9 x 976 x 163 x 7 x 149 = 589876827120
Therefore, the lowest common multiple of 711,976,815,553,745 is 589876827120.
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.
711 x 976 x 815 x 553 x 745 = 233001346712400
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.
711 : 1, 3, 9, 79, 237, 711
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
815 : 1, 5, 163, 815
553 : 1, 7, 79, 553
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,976,815,553,745, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
976:2x 2x 2x 2x 61
815:5x 163
553:7x 79
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 79 = 395
Therefore, the value for common factors is 395.
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 = 233001346712400/(1x395)
LCM = 233001346712400/395
LCM = 589876827120
Thus, we can understand that the LCM of 711,976,815,553,745 is 589876827120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 711, 976, 815, 553, 745?
Answer: LCM of 711, 976, 815, 553, 745 is 589876827120.
2. How to calculate the LCM of 711, 976, 815, 553, 745?
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 711, 976, 815, 553, 745.
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}.