LCM of 239, 312, 760, 996, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 239, 312, 760, 996, 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 239, 312, 760, 996, 284. So, keep reading to learn more.
Given numbers are 239,312,760,996,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 239,312,760,996,284 is 41745776280.
Find LCM of 239,312,760,996,284 with Prime Factorization
| 2 | 239, 312, 760, 996, 284 |
| 2 | 239, 156, 380, 498, 142 |
| 2 | 239, 78, 190, 249, 71 |
| 3 | 239, 39, 95, 249, 71 |
| 239, 13, 95, 83, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 239 x 13 x 95 x 83 x 71 = 41745776280
Therefore, the lowest common multiple of 239,312,760,996,284 is 41745776280.
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.
239 x 312 x 760 x 996 x 284 = 16030378091520
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.
239 : 1, 239
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
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 239,312,760,996,284, is 1.
Now, the common factors can be found like this.
239:239
312:2x 2x 2x 3x 13
760:2x 2x 2x 5x 19
996:2x 2x 3x 83
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 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 16030378091520/(1x384)
LCM = 16030378091520/384
LCM = 41745776280
Thus, we can understand that the LCM of 239,312,760,996,284 is 41745776280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 239, 312, 760, 996, 284
1. What is the LCM of 239, 312, 760, 996, 284?
Answer: LCM of 239, 312, 760, 996, 284 is 41745776280.
2. How to calculate the LCM of 239, 312, 760, 996, 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 239, 312, 760, 996, 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}.