Find the LCM of 291, 172, 339, 754, 447 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 291, 172, 339, 754, 447. So, keep reading to learn more.
Given numbers are 291,172,339,754,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,172,339,754,447 is 317707522548.
Find LCM of 291,172,339,754,447 with Prime Factorization
2 | 291, 172, 339, 754, 447 |
3 | 291, 86, 339, 377, 447 |
97, 86, 113, 377, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 97 x 86 x 113 x 377 x 149 = 317707522548
Therefore, the lowest common multiple of 291,172,339,754,447 is 317707522548.
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.
291 x 172 x 339 x 754 x 447 = 5718735405864
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.
291 : 1, 3, 97, 291
172 : 1, 2, 4, 43, 86, 172
339 : 1, 3, 113, 339
754 : 1, 2, 13, 26, 29, 58, 377, 754
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,172,339,754,447, is 1.
Now, the common factors can be found like this.
291:3x 97
172:2x 2x 43
339:3x 113
754:2x 13x 29
447:3x 149
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 3 = 18
Therefore, the value for common factors is 18.
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 = 5718735405864/(1x18)
LCM = 5718735405864/18
LCM = 317707522548
Thus, we can understand that the LCM of 291,172,339,754,447 is 317707522548.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 291, 172, 339, 754, 447?
Answer: LCM of 291, 172, 339, 754, 447 is 317707522548.
2. How to calculate the LCM of 291, 172, 339, 754, 447?
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 291, 172, 339, 754, 447.
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}.