Find the LCM of 845, 696, 754, 206, 652 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 845, 696, 754, 206, 652. So, keep reading to learn more.
Given numbers are 845,696,754,206,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,696,754,206,652 is 9873946680.
Find LCM of 845,696,754,206,652 with Prime Factorization
2 | 845, 696, 754, 206, 652 |
2 | 845, 348, 377, 103, 326 |
13 | 845, 174, 377, 103, 163 |
29 | 65, 174, 29, 103, 163 |
65, 6, 1, 103, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 29 x 65 x 6 x 1 x 103 x 163 = 9873946680
Therefore, the lowest common multiple of 845,696,754,206,652 is 9873946680.
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.
845 x 696 x 754 x 206 x 652 = 59559646373760
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.
845 : 1, 5, 13, 65, 169, 845
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
754 : 1, 2, 13, 26, 29, 58, 377, 754
206 : 1, 2, 103, 206
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,696,754,206,652, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
696:2x 2x 2x 3x 29
754:2x 13x 29
206:2x 103
652:2x 2x 163
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 13x 29 = 6032
Therefore, the value for common factors is 6032.
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 = 59559646373760/(1x6032)
LCM = 59559646373760/6032
LCM = 9873946680
Thus, we can understand that the LCM of 845,696,754,206,652 is 9873946680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 845, 696, 754, 206, 652?
Answer: LCM of 845, 696, 754, 206, 652 is 9873946680.
2. How to calculate the LCM of 845, 696, 754, 206, 652?
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 845, 696, 754, 206, 652.
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}.