Find the LCM of 891, 448, 462, 984, 296 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 891, 448, 462, 984, 296. So, keep reading to learn more.
Given numbers are 891,448,462,984,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,448,462,984,296 is 605537856.
Find LCM of 891,448,462,984,296 with Prime Factorization
2 | 891, 448, 462, 984, 296 |
2 | 891, 224, 231, 492, 148 |
2 | 891, 112, 231, 246, 74 |
3 | 891, 56, 231, 123, 37 |
7 | 297, 56, 77, 41, 37 |
11 | 297, 8, 11, 41, 37 |
27, 8, 1, 41, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 27 x 8 x 1 x 41 x 37 = 605537856
Therefore, the lowest common multiple of 891,448,462,984,296 is 605537856.
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.
891 x 448 x 462 x 984 x 296 = 53713629978624
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,448,462,984,296, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
448:2x 2x 2x 2x 2x 2x 7
462:2x 3x 7x 11
984:2x 2x 2x 3x 41
296:2x 2x 2x 37
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 2x 3x 3x 7x 11 = 88704
Therefore, the value for common factors is 88704.
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 = 53713629978624/(1x88704)
LCM = 53713629978624/88704
LCM = 605537856
Thus, we can understand that the LCM of 891,448,462,984,296 is 605537856.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 891, 448, 462, 984, 296?
Answer: LCM of 891, 448, 462, 984, 296 is 605537856.
2. How to calculate the LCM of 891, 448, 462, 984, 296?
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 891, 448, 462, 984, 296.
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}.