Find the LCM of 169, 976, 431, 366, 441 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 169, 976, 431, 366, 441. So, keep reading to learn more.
Given numbers are 169,976,431,366,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,976,431,366,441 is 31351071024.
Find LCM of 169,976,431,366,441 with Prime Factorization
2 | 169, 976, 431, 366, 441 |
3 | 169, 488, 431, 183, 441 |
61 | 169, 488, 431, 61, 147 |
169, 8, 431, 1, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 61 x 169 x 8 x 431 x 1 x 147 = 31351071024
Therefore, the lowest common multiple of 169,976,431,366,441 is 31351071024.
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.
169 x 976 x 431 x 366 x 441 = 11474491994784
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.
169 : 1, 13, 169
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
431 : 1, 431
366 : 1, 2, 3, 6, 61, 122, 183, 366
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,976,431,366,441, is 1.
Now, the common factors can be found like this.
169:13x 13
976:2x 2x 2x 2x 61
431:431
366:2x 3x 61
441:3x 3x 7x 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 3x 61 = 366
Therefore, the value for common factors is 366.
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 = 11474491994784/(1x366)
LCM = 11474491994784/366
LCM = 31351071024
Thus, we can understand that the LCM of 169,976,431,366,441 is 31351071024.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 976, 431, 366, 441?
Answer: LCM of 169, 976, 431, 366, 441 is 31351071024.
2. How to calculate the LCM of 169, 976, 431, 366, 441?
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 169, 976, 431, 366, 441.
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}.