Find the LCM of 627, 584, 539, 361, 223 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 627, 584, 539, 361, 223. So, keep reading to learn more.
Given numbers are 627,584,539,361,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,584,539,361,223 is 76021236984.
Find LCM of 627,584,539,361,223 with Prime Factorization
11 | 627, 584, 539, 361, 223 |
19 | 57, 584, 49, 361, 223 |
3, 584, 49, 19, 223 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 3 x 584 x 49 x 19 x 223 = 76021236984
Therefore, the lowest common multiple of 627,584,539,361,223 is 76021236984.
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.
627 x 584 x 539 x 361 x 223 = 15888438529656
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
584 : 1, 2, 4, 8, 73, 146, 292, 584
539 : 1, 7, 11, 49, 77, 539
361 : 1, 19, 361
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,584,539,361,223, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
584:2x 2x 2x 73
539:7x 7x 11
361:19x 19
223:223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 15888438529656/(1x209)
LCM = 15888438529656/209
LCM = 76021236984
Thus, we can understand that the LCM of 627,584,539,361,223 is 76021236984.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 584, 539, 361, 223?
Answer: LCM of 627, 584, 539, 361, 223 is 76021236984.
2. How to calculate the LCM of 627, 584, 539, 361, 223?
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 627, 584, 539, 361, 223.
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}.