LCM of 627, 388, 272, 374, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 388, 272, 374, 832 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, 388, 272, 374, 832. So, keep reading to learn more.
Given numbers are 627,388,272,374,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,388,272,374,832 is 860223936.
Find LCM of 627,388,272,374,832 with Prime Factorization
| 2 | 627, 388, 272, 374, 832 |
| 2 | 627, 194, 136, 187, 416 |
| 2 | 627, 97, 68, 187, 208 |
| 2 | 627, 97, 34, 187, 104 |
| 11 | 627, 97, 17, 187, 52 |
| 17 | 57, 97, 17, 17, 52 |
| 57, 97, 1, 1, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 17 x 57 x 97 x 1 x 1 x 52 = 860223936
Therefore, the lowest common multiple of 627,388,272,374,832 is 860223936.
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 388 x 272 x 374 x 832 = 20590320132096
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
388 : 1, 2, 4, 97, 194, 388
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
374 : 1, 2, 11, 17, 22, 34, 187, 374
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,388,272,374,832, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
388:2x 2x 97
272:2x 2x 2x 2x 17
374:2x 11x 17
832:2x 2x 2x 2x 2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 11x 17 = 23936
Therefore, the value for common factors is 23936.
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 = 20590320132096/(1x23936)
LCM = 20590320132096/23936
LCM = 860223936
Thus, we can understand that the LCM of 627,388,272,374,832 is 860223936.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 627, 388, 272, 374, 832
1. What is the LCM of 627, 388, 272, 374, 832?
Answer: LCM of 627, 388, 272, 374, 832 is 860223936.
2. How to calculate the LCM of 627, 388, 272, 374, 832?
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, 388, 272, 374, 832.
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}.