Find the LCM of 657, 646, 418, 721, 946 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 657, 646, 418, 721, 946. So, keep reading to learn more.
Given numbers are 657,646,418,721,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,646,418,721,946 is 144741907926.
Find LCM of 657,646,418,721,946 with Prime Factorization
2 | 657, 646, 418, 721, 946 |
11 | 657, 323, 209, 721, 473 |
19 | 657, 323, 19, 721, 43 |
657, 17, 1, 721, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 657 x 17 x 1 x 721 x 43 = 144741907926
Therefore, the lowest common multiple of 657,646,418,721,946 is 144741907926.
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.
657 x 646 x 418 x 721 x 946 = 121004235026136
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.
657 : 1, 3, 9, 73, 219, 657
646 : 1, 2, 17, 19, 34, 38, 323, 646
418 : 1, 2, 11, 19, 22, 38, 209, 418
721 : 1, 7, 103, 721
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,646,418,721,946, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
646:2x 17x 19
418:2x 11x 19
721:7x 103
946:2x 11x 43
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 121004235026136/(1x836)
LCM = 121004235026136/836
LCM = 144741907926
Thus, we can understand that the LCM of 657,646,418,721,946 is 144741907926.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 646, 418, 721, 946?
Answer: LCM of 657, 646, 418, 721, 946 is 144741907926.
2. How to calculate the LCM of 657, 646, 418, 721, 946?
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 657, 646, 418, 721, 946.
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}.