Find the LCM of 631, 631, 998, 946, 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 631, 631, 998, 946, 781. So, keep reading to learn more.
Given numbers are 631,631,998,946,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,631,998,946,781 is 21148491254.
Find LCM of 631,631,998,946,781 with Prime Factorization
2 | 631, 631, 998, 946, 781 |
11 | 631, 631, 499, 473, 781 |
631 | 631, 631, 499, 43, 71 |
1, 1, 499, 43, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 631 x 1 x 1 x 499 x 43 x 71 = 21148491254
Therefore, the lowest common multiple of 631,631,998,946,781 is 21148491254.
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.
631 x 631 x 998 x 946 x 781 = 293583355588028
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.
631 : 1, 631
631 : 1, 631
998 : 1, 2, 499, 998
946 : 1, 2, 11, 22, 43, 86, 473, 946
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,631,998,946,781, is 1.
Now, the common factors can be found like this.
631:631
631:631
998:2x 499
946:2x 11x 43
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.
2x 11x 631 = 13882
Therefore, the value for common factors is 13882.
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 = 293583355588028/(1x13882)
LCM = 293583355588028/13882
LCM = 21148491254
Thus, we can understand that the LCM of 631,631,998,946,781 is 21148491254.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 631, 631, 998, 946, 781?
Answer: LCM of 631, 631, 998, 946, 781 is 21148491254.
2. How to calculate the LCM of 631, 631, 998, 946, 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 631, 631, 998, 946, 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}.