Find the LCM of 485, 649, 970, 447, 178 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 485, 649, 970, 447, 178. So, keep reading to learn more.
Given numbers are 485,649,970,447,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 485,649,970,447,178 is 25044591990.
Find LCM of 485,649,970,447,178 with Prime Factorization
2 | 485, 649, 970, 447, 178 |
5 | 485, 649, 485, 447, 89 |
97 | 97, 649, 97, 447, 89 |
1, 649, 1, 447, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 97 x 1 x 649 x 1 x 447 x 89 = 25044591990
Therefore, the lowest common multiple of 485,649,970,447,178 is 25044591990.
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.
485 x 649 x 970 x 447 x 178 = 24293254230300
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.
485 : 1, 5, 97, 485
649 : 1, 11, 59, 649
970 : 1, 2, 5, 10, 97, 194, 485, 970
447 : 1, 3, 149, 447
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,649,970,447,178, is 1.
Now, the common factors can be found like this.
485:5x 97
649:11x 59
970:2x 5x 97
447:3x 149
178:2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 97 = 970
Therefore, the value for common factors is 970.
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 = 24293254230300/(1x970)
LCM = 24293254230300/970
LCM = 25044591990
Thus, we can understand that the LCM of 485,649,970,447,178 is 25044591990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 485, 649, 970, 447, 178?
Answer: LCM of 485, 649, 970, 447, 178 is 25044591990.
2. How to calculate the LCM of 485, 649, 970, 447, 178?
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 485, 649, 970, 447, 178.
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}.