Find the LCM of 865, 977, 973, 764, 417 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 865, 977, 973, 764, 417. So, keep reading to learn more.
Given numbers are 865,977,973,764,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,977,973,764,417 is 1884682182180.
Find LCM of 865,977,973,764,417 with Prime Factorization
139 | 865, 977, 973, 764, 417 |
865, 977, 7, 764, 3 |
Multiply the prime numbers at the bottom and the left side.
139 x 865 x 977 x 7 x 764 x 3 = 1884682182180
Therefore, the lowest common multiple of 865,977,973,764,417 is 1884682182180.
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.
865 x 977 x 973 x 764 x 417 = 261970823323020
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.
865 : 1, 5, 173, 865
977 : 1, 977
973 : 1, 7, 139, 973
764 : 1, 2, 4, 191, 382, 764
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,977,973,764,417, is 1.
Now, the common factors can be found like this.
865:5x 173
977:977
973:7x 139
764:2x 2x 191
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
139 = 139
Therefore, the value for common factors is 139.
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 = 261970823323020/(1x139)
LCM = 261970823323020/139
LCM = 1884682182180
Thus, we can understand that the LCM of 865,977,973,764,417 is 1884682182180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 865, 977, 973, 764, 417?
Answer: LCM of 865, 977, 973, 764, 417 is 1884682182180.
2. How to calculate the LCM of 865, 977, 973, 764, 417?
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 865, 977, 973, 764, 417.
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}.