LCM of 284, 901, 889, 204, 265
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 901, 889, 204, 265 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 284, 901, 889, 204, 265. So, keep reading to learn more.
Given numbers are 284,901,889,204,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,901,889,204,265 is 3412213140.
Find LCM of 284,901,889,204,265 with Prime Factorization
| 2 | 284, 901, 889, 204, 265 |
| 2 | 142, 901, 889, 102, 265 |
| 17 | 71, 901, 889, 51, 265 |
| 53 | 71, 53, 889, 3, 265 |
| 71, 1, 889, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 53 x 71 x 1 x 889 x 3 x 5 = 3412213140
Therefore, the lowest common multiple of 284,901,889,204,265 is 3412213140.
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.
284 x 901 x 889 x 204 x 265 = 12297616156560
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.
284 : 1, 2, 4, 71, 142, 284
901 : 1, 17, 53, 901
889 : 1, 7, 127, 889
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,901,889,204,265, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
901:17x 53
889:7x 127
204:2x 2x 3x 17
265:5x 53
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 17x 53 = 3604
Therefore, the value for common factors is 3604.
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 = 12297616156560/(1x3604)
LCM = 12297616156560/3604
LCM = 3412213140
Thus, we can understand that the LCM of 284,901,889,204,265 is 3412213140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 284, 901, 889, 204, 265
1. What is the LCM of 284, 901, 889, 204, 265?
Answer: LCM of 284, 901, 889, 204, 265 is 3412213140.
2. How to calculate the LCM of 284, 901, 889, 204, 265?
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 284, 901, 889, 204, 265.
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}.