Find the LCM of 658, 808, 296, 777, 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 658, 808, 296, 777, 652. So, keep reading to learn more.
Given numbers are 658,808,296,777,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,808,296,777,652 is 4809698376.
Find LCM of 658,808,296,777,652 with Prime Factorization
2 | 658, 808, 296, 777, 652 |
2 | 329, 404, 148, 777, 326 |
2 | 329, 202, 74, 777, 163 |
7 | 329, 101, 37, 777, 163 |
37 | 47, 101, 37, 111, 163 |
47, 101, 1, 3, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 37 x 47 x 101 x 1 x 3 x 163 = 4809698376
Therefore, the lowest common multiple of 658,808,296,777,652 is 4809698376.
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.
658 x 808 x 296 x 777 x 652 = 79725560280576
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
808 : 1, 2, 4, 8, 101, 202, 404, 808
296 : 1, 2, 4, 8, 37, 74, 148, 296
777 : 1, 3, 7, 21, 37, 111, 259, 777
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 658,808,296,777,652, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
808:2x 2x 2x 101
296:2x 2x 2x 37
777:3x 7x 37
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 2x 2x 7x 37 = 16576
Therefore, the value for common factors is 16576.
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 = 79725560280576/(1x16576)
LCM = 79725560280576/16576
LCM = 4809698376
Thus, we can understand that the LCM of 658,808,296,777,652 is 4809698376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 658, 808, 296, 777, 652?
Answer: LCM of 658, 808, 296, 777, 652 is 4809698376.
2. How to calculate the LCM of 658, 808, 296, 777, 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 658, 808, 296, 777, 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}.