LCM of 902, 856, 902, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 856, 902, 448 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 902, 856, 902, 448. So, keep reading to learn more.
Given numbers are 902,856,902,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,856,902,448 is 21619136.
Find LCM of 902,856,902,448 with Prime Factorization
| 2 | 902, 856, 902, 448 |
| 2 | 451, 428, 451, 224 |
| 2 | 451, 214, 451, 112 |
| 11 | 451, 107, 451, 56 |
| 41 | 41, 107, 41, 56 |
| 1, 107, 1, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 41 x 1 x 107 x 1 x 56 = 21619136
Therefore, the lowest common multiple of 902,856,902,448 is 21619136.
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.
902 x 856 x 902 x 448 = 312007370752
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
856 : 1, 2, 4, 8, 107, 214, 428, 856
902 : 1, 2, 11, 22, 41, 82, 451, 902
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,856,902,448, is 2.
Now, the common factors can be found like this.
902:2x 11x 41
856:2x 2x 2x 107
902:2x 11x 41
448:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 11x 41 = 7216
Therefore, the value for common factors is 7216.
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 = 312007370752/(2x7216)
LCM = 312007370752/14432
LCM = 21619136
Thus, we can understand that the LCM of 902,856,902,448 is 21619136.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 902, 856, 902, 448
1. What is the LCM of 902, 856, 902, 448?
Answer: LCM of 902, 856, 902, 448 is 21619136.
2. How to calculate the LCM of 902, 856, 902, 448?
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 902, 856, 902, 448.
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}.