Find the LCM of 730, 683, 684, 321, 684 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 730, 683, 684, 321, 684. So, keep reading to learn more.
Given numbers are 730,683,684,321,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,683,684,321,684 is 18245402460.
Find LCM of 730,683,684,321,684 with Prime Factorization
2 | 730, 683, 684, 321, 684 |
2 | 365, 683, 342, 321, 342 |
3 | 365, 683, 171, 321, 171 |
3 | 365, 683, 57, 107, 57 |
19 | 365, 683, 19, 107, 19 |
365, 683, 1, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 365 x 683 x 1 x 107 x 1 = 18245402460
Therefore, the lowest common multiple of 730,683,684,321,684 is 18245402460.
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.
730 x 683 x 684 x 321 x 684 = 74879131695840
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
683 : 1, 683
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
321 : 1, 3, 107, 321
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,683,684,321,684, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
683:683
684:2x 2x 3x 3x 19
321:3x 107
684:2x 2x 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 3x 3x 3x 19 = 4104
Therefore, the value for common factors is 4104.
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 = 74879131695840/(1x4104)
LCM = 74879131695840/4104
LCM = 18245402460
Thus, we can understand that the LCM of 730,683,684,321,684 is 18245402460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 730, 683, 684, 321, 684?
Answer: LCM of 730, 683, 684, 321, 684 is 18245402460.
2. How to calculate the LCM of 730, 683, 684, 321, 684?
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 730, 683, 684, 321, 684.
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}.