Find the LCM of 709, 581, 556, 973, 745 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 709, 581, 556, 973, 745. So, keep reading to learn more.
Given numbers are 709,581,556,973,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,581,556,973,745 is 170629230380.
Find LCM of 709,581,556,973,745 with Prime Factorization
7 | 709, 581, 556, 973, 745 |
139 | 709, 83, 556, 139, 745 |
709, 83, 4, 1, 745 |
Multiply the prime numbers at the bottom and the left side.
7 x 139 x 709 x 83 x 4 x 1 x 745 = 170629230380
Therefore, the lowest common multiple of 709,581,556,973,745 is 170629230380.
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.
709 x 581 x 556 x 973 x 745 = 166022241159740
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.
709 : 1, 709
581 : 1, 7, 83, 581
556 : 1, 2, 4, 139, 278, 556
973 : 1, 7, 139, 973
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,581,556,973,745, is 1.
Now, the common factors can be found like this.
709:709
581:7x 83
556:2x 2x 139
973:7x 139
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 139 = 973
Therefore, the value for common factors is 973.
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 = 166022241159740/(1x973)
LCM = 166022241159740/973
LCM = 170629230380
Thus, we can understand that the LCM of 709,581,556,973,745 is 170629230380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 581, 556, 973, 745?
Answer: LCM of 709, 581, 556, 973, 745 is 170629230380.
2. How to calculate the LCM of 709, 581, 556, 973, 745?
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 709, 581, 556, 973, 745.
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}.