LCM of 902, 297, 964, 451, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 297, 964, 451, 394 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, 297, 964, 451, 394. So, keep reading to learn more.
Given numbers are 902,297,964,451,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,297,964,451,394 is 2312509716.
Find LCM of 902,297,964,451,394 with Prime Factorization
| 2 | 902, 297, 964, 451, 394 |
| 11 | 451, 297, 482, 451, 197 |
| 41 | 41, 27, 482, 41, 197 |
| 1, 27, 482, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 1 x 27 x 482 x 1 x 197 = 2312509716
Therefore, the lowest common multiple of 902,297,964,451,394 is 2312509716.
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 297 x 964 x 451 x 394 = 45889442804304
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
297 : 1, 3, 9, 11, 27, 33, 99, 297
964 : 1, 2, 4, 241, 482, 964
451 : 1, 11, 41, 451
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,297,964,451,394, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
297:3x 3x 3x 11
964:2x 2x 241
451:11x 41
394:2x 197
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 11x 11x 41 = 19844
Therefore, the value for common factors is 19844.
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 = 45889442804304/(1x19844)
LCM = 45889442804304/19844
LCM = 2312509716
Thus, we can understand that the LCM of 902,297,964,451,394 is 2312509716.
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, 297, 964, 451, 394
1. What is the LCM of 902, 297, 964, 451, 394?
Answer: LCM of 902, 297, 964, 451, 394 is 2312509716.
2. How to calculate the LCM of 902, 297, 964, 451, 394?
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, 297, 964, 451, 394.
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}.