Find the LCM of 307, 576, 704, 837, 171 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 307, 576, 704, 837, 171. So, keep reading to learn more.
Given numbers are 307,576,704,837,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,576,704,837,171 is 3437083584.
Find LCM of 307,576,704,837,171 with Prime Factorization
2 | 307, 576, 704, 837, 171 |
2 | 307, 288, 352, 837, 171 |
2 | 307, 144, 176, 837, 171 |
2 | 307, 72, 88, 837, 171 |
2 | 307, 36, 44, 837, 171 |
2 | 307, 18, 22, 837, 171 |
3 | 307, 9, 11, 837, 171 |
3 | 307, 3, 11, 279, 57 |
307, 1, 11, 93, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 307 x 1 x 11 x 93 x 19 = 3437083584
Therefore, the lowest common multiple of 307,576,704,837,171 is 3437083584.
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.
307 x 576 x 704 x 837 x 171 = 17817841299456
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.
307 : 1, 307
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
837 : 1, 3, 9, 27, 31, 93, 279, 837
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,576,704,837,171, is 1.
Now, the common factors can be found like this.
307:307
576:2x 2x 2x 2x 2x 2x 3x 3
704:2x 2x 2x 2x 2x 2x 11
837:3x 3x 3x 31
171:3x 3x 19
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 2x 2x 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 17817841299456/(1x5184)
LCM = 17817841299456/5184
LCM = 3437083584
Thus, we can understand that the LCM of 307,576,704,837,171 is 3437083584.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 307, 576, 704, 837, 171?
Answer: LCM of 307, 576, 704, 837, 171 is 3437083584.
2. How to calculate the LCM of 307, 576, 704, 837, 171?
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 307, 576, 704, 837, 171.
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}.