Find the LCM of 169, 722, 255, 629, 527 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, 722, 255, 629, 527. So, keep reading to learn more.
Given numbers are 169,722,255,629,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,722,255,629,527 is 35688434730.
Find LCM of 169,722,255,629,527 with Prime Factorization
17 | 169, 722, 255, 629, 527 |
169, 722, 15, 37, 31 |
Multiply the prime numbers at the bottom and the left side.
17 x 169 x 722 x 15 x 37 x 31 = 35688434730
Therefore, the lowest common multiple of 169,722,255,629,527 is 35688434730.
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 722 x 255 x 629 x 527 = 10313957636970
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
722 : 1, 2, 19, 38, 361, 722
255 : 1, 3, 5, 15, 17, 51, 85, 255
629 : 1, 17, 37, 629
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,722,255,629,527, is 1.
Now, the common factors can be found like this.
169:13x 13
722:2x 19x 19
255:3x 5x 17
629:17x 37
527:17x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 17 = 289
Therefore, the value for common factors is 289.
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 = 10313957636970/(1x289)
LCM = 10313957636970/289
LCM = 35688434730
Thus, we can understand that the LCM of 169,722,255,629,527 is 35688434730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 722, 255, 629, 527?
Answer: LCM of 169, 722, 255, 629, 527 is 35688434730.
2. How to calculate the LCM of 169, 722, 255, 629, 527?
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, 722, 255, 629, 527.
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}.