Find the LCM of 484, 291, 945, 940, 466 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 484, 291, 945, 940, 466. So, keep reading to learn more.
Given numbers are 484,291,945,940,466
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,291,945,940,466 is 485850532860.
Find LCM of 484,291,945,940,466 with Prime Factorization
2 | 484, 291, 945, 940, 466 |
2 | 242, 291, 945, 470, 233 |
3 | 121, 291, 945, 235, 233 |
5 | 121, 97, 315, 235, 233 |
121, 97, 63, 47, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 121 x 97 x 63 x 47 x 233 = 485850532860
Therefore, the lowest common multiple of 484,291,945,940,466 is 485850532860.
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.
484 x 291 x 945 x 940 x 466 = 58302063943200
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
291 : 1, 3, 97, 291
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
466 : 1, 2, 233, 466
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,291,945,940,466, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
291:3x 97
945:3x 3x 3x 5x 7
940:2x 2x 5x 47
466:2x 233
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 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 58302063943200/(1x120)
LCM = 58302063943200/120
LCM = 485850532860
Thus, we can understand that the LCM of 484,291,945,940,466 is 485850532860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 484, 291, 945, 940, 466?
Answer: LCM of 484, 291, 945, 940, 466 is 485850532860.
2. How to calculate the LCM of 484, 291, 945, 940, 466?
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 484, 291, 945, 940, 466.
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}.