Find the LCM of 627, 273, 891, 330, 325 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, 273, 891, 330, 325. So, keep reading to learn more.
Given numbers are 627,273,891,330,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,273,891,330,325 is 77026950.
Find LCM of 627,273,891,330,325 with Prime Factorization
3 | 627, 273, 891, 330, 325 |
5 | 209, 91, 297, 110, 325 |
11 | 209, 91, 297, 22, 65 |
13 | 19, 91, 27, 2, 65 |
19, 7, 27, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 13 x 19 x 7 x 27 x 2 x 5 = 77026950
Therefore, the lowest common multiple of 627,273,891,330,325 is 77026950.
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 273 x 891 x 330 x 325 = 16357057967250
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
273 : 1, 3, 7, 13, 21, 39, 91, 273
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,273,891,330,325, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
273:3x 7x 13
891:3x 3x 3x 3x 11
330:2x 3x 5x 11
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 11x 11x 13 = 212355
Therefore, the value for common factors is 212355.
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 = 16357057967250/(1x212355)
LCM = 16357057967250/212355
LCM = 77026950
Thus, we can understand that the LCM of 627,273,891,330,325 is 77026950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 273, 891, 330, 325?
Answer: LCM of 627, 273, 891, 330, 325 is 77026950.
2. How to calculate the LCM of 627, 273, 891, 330, 325?
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, 273, 891, 330, 325.
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}.