LCM of 338, 888, 897, 272, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 888, 897, 272, 284 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 338, 888, 897, 272, 284. So, keep reading to learn more.
Given numbers are 338,888,897,272,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,888,897,272,284 is 8332297584.
Find LCM of 338,888,897,272,284 with Prime Factorization
| 2 | 338, 888, 897, 272, 284 |
| 2 | 169, 444, 897, 136, 142 |
| 2 | 169, 222, 897, 68, 71 |
| 3 | 169, 111, 897, 34, 71 |
| 13 | 169, 37, 299, 34, 71 |
| 13, 37, 23, 34, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 13 x 37 x 23 x 34 x 71 = 8332297584
Therefore, the lowest common multiple of 338,888,897,272,284 is 8332297584.
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.
338 x 888 x 897 x 272 x 284 = 20797414769664
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.
338 : 1, 2, 13, 26, 169, 338
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
897 : 1, 3, 13, 23, 39, 69, 299, 897
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,888,897,272,284, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
888:2x 2x 2x 3x 37
897:3x 13x 23
272:2x 2x 2x 2x 17
284:2x 2x 71
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 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 20797414769664/(1x2496)
LCM = 20797414769664/2496
LCM = 8332297584
Thus, we can understand that the LCM of 338,888,897,272,284 is 8332297584.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 338, 888, 897, 272, 284
1. What is the LCM of 338, 888, 897, 272, 284?
Answer: LCM of 338, 888, 897, 272, 284 is 8332297584.
2. How to calculate the LCM of 338, 888, 897, 272, 284?
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 338, 888, 897, 272, 284.
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}.