Find the LCM of 531, 389, 257, 133, 589 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 531, 389, 257, 133, 589. So, keep reading to learn more.
Given numbers are 531,389,257,133,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,389,257,133,589 is 218872188549.
Find LCM of 531,389,257,133,589 with Prime Factorization
19 | 531, 389, 257, 133, 589 |
531, 389, 257, 7, 31 |
Multiply the prime numbers at the bottom and the left side.
19 x 531 x 389 x 257 x 7 x 31 = 218872188549
Therefore, the lowest common multiple of 531,389,257,133,589 is 218872188549.
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.
531 x 389 x 257 x 133 x 589 = 4158571582431
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.
531 : 1, 3, 9, 59, 177, 531
389 : 1, 389
257 : 1, 257
133 : 1, 7, 19, 133
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,389,257,133,589, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
389:389
257:257
133:7x 19
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 4158571582431/(1x19)
LCM = 4158571582431/19
LCM = 218872188549
Thus, we can understand that the LCM of 531,389,257,133,589 is 218872188549.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 531, 389, 257, 133, 589?
Answer: LCM of 531, 389, 257, 133, 589 is 218872188549.
2. How to calculate the LCM of 531, 389, 257, 133, 589?
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 531, 389, 257, 133, 589.
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}.