Find the LCM of 970, 913, 882, 302, 685 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 970, 913, 882, 302, 685. So, keep reading to learn more.
Given numbers are 970,913,882,302,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,913,882,302,685 is 8079390804870.
Find LCM of 970,913,882,302,685 with Prime Factorization
2 | 970, 913, 882, 302, 685 |
5 | 485, 913, 441, 151, 685 |
97, 913, 441, 151, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 97 x 913 x 441 x 151 x 137 = 8079390804870
Therefore, the lowest common multiple of 970,913,882,302,685 is 8079390804870.
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.
970 x 913 x 882 x 302 x 685 = 161587816097400
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
913 : 1, 11, 83, 913
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
302 : 1, 2, 151, 302
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,913,882,302,685, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
913:11x 83
882:2x 3x 3x 7x 7
302:2x 151
685:5x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5 = 20
Therefore, the value for common factors is 20.
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 = 161587816097400/(1x20)
LCM = 161587816097400/20
LCM = 8079390804870
Thus, we can understand that the LCM of 970,913,882,302,685 is 8079390804870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 970, 913, 882, 302, 685?
Answer: LCM of 970, 913, 882, 302, 685 is 8079390804870.
2. How to calculate the LCM of 970, 913, 882, 302, 685?
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 970, 913, 882, 302, 685.
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}.