Find the LCM of 137, 548, 589, 569 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 137, 548, 589, 569. So, keep reading to learn more.
Given numbers are 137,548,589,569
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,548,589,569 is 183657268.
Find LCM of 137,548,589,569 with Prime Factorization
137 | 137, 548, 589, 569 |
1, 4, 589, 569 |
Multiply the prime numbers at the bottom and the left side.
137 x 1 x 4 x 589 x 569 = 183657268
Therefore, the lowest common multiple of 137,548,589,569 is 183657268.
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.
137 x 548 x 589 x 569 = 25161045716
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.
137 : 1, 137
548 : 1, 2, 4, 137, 274, 548
589 : 1, 19, 31, 589
569 : 1, 569
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,548,589,569, is 1.
Now, the common factors can be found like this.
137:137
548:2x 2x 137
589:19x 31
569:569
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
137 = 137
Therefore, the value for common factors is 137.
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 = 25161045716/(1x137)
LCM = 25161045716/137
LCM = 183657268
Thus, we can understand that the LCM of 137,548,589,569 is 183657268.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 137, 548, 589, 569?
Answer: LCM of 137, 548, 589, 569 is 183657268.
2. How to calculate the LCM of 137, 548, 589, 569?
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 137, 548, 589, 569.
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}.