Find the LCM of 366, 782, 180, 932, 333 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 366, 782, 180, 932, 333. So, keep reading to learn more.
Given numbers are 366,782,180,932,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,782,180,932,333 is 37011504780.
Find LCM of 366,782,180,932,333 with Prime Factorization
2 | 366, 782, 180, 932, 333 |
2 | 183, 391, 90, 466, 333 |
3 | 183, 391, 45, 233, 333 |
3 | 61, 391, 15, 233, 111 |
61, 391, 5, 233, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 61 x 391 x 5 x 233 x 37 = 37011504780
Therefore, the lowest common multiple of 366,782,180,932,333 is 37011504780.
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.
366 x 782 x 180 x 932 x 333 = 15988970064960
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
782 : 1, 2, 17, 23, 34, 46, 391, 782
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
932 : 1, 2, 4, 233, 466, 932
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,782,180,932,333, is 1.
Now, the common factors can be found like this.
366:2x 3x 61
782:2x 17x 23
180:2x 2x 3x 3x 5
932:2x 2x 233
333:3x 3x 37
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 2x 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 15988970064960/(1x432)
LCM = 15988970064960/432
LCM = 37011504780
Thus, we can understand that the LCM of 366,782,180,932,333 is 37011504780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 366, 782, 180, 932, 333?
Answer: LCM of 366, 782, 180, 932, 333 is 37011504780.
2. How to calculate the LCM of 366, 782, 180, 932, 333?
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 366, 782, 180, 932, 333.
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}.