Find the LCM of 973, 935, 243, 781 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 973, 935, 243, 781. So, keep reading to learn more.
Given numbers are 973,935,243,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,935,243,781 is 15696003015.
Find LCM of 973,935,243,781 with Prime Factorization
11 | 973, 935, 243, 781 |
973, 85, 243, 71 |
Multiply the prime numbers at the bottom and the left side.
11 x 973 x 85 x 243 x 71 = 15696003015
Therefore, the lowest common multiple of 973,935,243,781 is 15696003015.
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.
973 x 935 x 243 x 781 = 172656033165
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.
973 : 1, 7, 139, 973
935 : 1, 5, 11, 17, 55, 85, 187, 935
243 : 1, 3, 9, 27, 81, 243
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,935,243,781, is 1.
Now, the common factors can be found like this.
973:7x 139
935:5x 11x 17
243:3x 3x 3x 3x 3
781:11x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 172656033165/(1x11)
LCM = 172656033165/11
LCM = 15696003015
Thus, we can understand that the LCM of 973,935,243,781 is 15696003015.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 973, 935, 243, 781?
Answer: LCM of 973, 935, 243, 781 is 15696003015.
2. How to calculate the LCM of 973, 935, 243, 781?
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 973, 935, 243, 781.
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}.