LCM of 439, 568, 418, 133, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 568, 418, 133, 187 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 439, 568, 418, 133, 187. So, keep reading to learn more.
Given numbers are 439,568,418,133,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,568,418,133,187 is 6201633592.
Find LCM of 439,568,418,133,187 with Prime Factorization
| 2 | 439, 568, 418, 133, 187 |
| 11 | 439, 284, 209, 133, 187 |
| 19 | 439, 284, 19, 133, 17 |
| 439, 284, 1, 7, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 439 x 284 x 1 x 7 x 17 = 6201633592
Therefore, the lowest common multiple of 439,568,418,133,187 is 6201633592.
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.
439 x 568 x 418 x 133 x 187 = 2592282841456
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.
439 : 1, 439
568 : 1, 2, 4, 8, 71, 142, 284, 568
418 : 1, 2, 11, 19, 22, 38, 209, 418
133 : 1, 7, 19, 133
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,568,418,133,187, is 1.
Now, the common factors can be found like this.
439:439
568:2x 2x 2x 71
418:2x 11x 19
133:7x 19
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 19 = 418
Therefore, the value for common factors is 418.
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 = 2592282841456/(1x418)
LCM = 2592282841456/418
LCM = 6201633592
Thus, we can understand that the LCM of 439,568,418,133,187 is 6201633592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 439, 568, 418, 133, 187
1. What is the LCM of 439, 568, 418, 133, 187?
Answer: LCM of 439, 568, 418, 133, 187 is 6201633592.
2. How to calculate the LCM of 439, 568, 418, 133, 187?
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 439, 568, 418, 133, 187.
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}.