Find the LCM of 589, 183, 183, 739 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 589, 183, 183, 739. So, keep reading to learn more.
Given numbers are 589,183,183,739
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,183,183,739 is 79654593.
Find LCM of 589,183,183,739 with Prime Factorization
3 | 589, 183, 183, 739 |
61 | 589, 61, 61, 739 |
589, 1, 1, 739 |
Multiply the prime numbers at the bottom and the left side.
3 x 61 x 589 x 1 x 1 x 739 = 79654593
Therefore, the lowest common multiple of 589,183,183,739 is 79654593.
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.
589 x 183 x 183 x 739 = 14576790519
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.
589 : 1, 19, 31, 589
183 : 1, 3, 61, 183
183 : 1, 3, 61, 183
739 : 1, 739
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,183,183,739, is 1.
Now, the common factors can be found like this.
589:19x 31
183:3x 61
183:3x 61
739:739
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 61 = 183
Therefore, the value for common factors is 183.
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 = 14576790519/(1x183)
LCM = 14576790519/183
LCM = 79654593
Thus, we can understand that the LCM of 589,183,183,739 is 79654593.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 589, 183, 183, 739?
Answer: LCM of 589, 183, 183, 739 is 79654593.
2. How to calculate the LCM of 589, 183, 183, 739?
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 589, 183, 183, 739.
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}.