Find the LCM of 547, 190, 364, 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 547, 190, 364, 589. So, keep reading to learn more.
Given numbers are 547,190,364,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,190,364,589 is 586373060.
Find LCM of 547,190,364,589 with Prime Factorization
2 | 547, 190, 364, 589 |
19 | 547, 95, 182, 589 |
547, 5, 182, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 547 x 5 x 182 x 31 = 586373060
Therefore, the lowest common multiple of 547,190,364,589 is 586373060.
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.
547 x 190 x 364 x 589 = 22282176280
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.
547 : 1, 547
190 : 1, 2, 5, 10, 19, 38, 95, 190
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,190,364,589, is 1.
Now, the common factors can be found like this.
547:547
190:2x 5x 19
364:2x 2x 7x 13
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.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 22282176280/(1x38)
LCM = 22282176280/38
LCM = 586373060
Thus, we can understand that the LCM of 547,190,364,589 is 586373060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 547, 190, 364, 589?
Answer: LCM of 547, 190, 364, 589 is 586373060.
2. How to calculate the LCM of 547, 190, 364, 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 547, 190, 364, 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}.