LCM of 448, 508, 965, 381, 283
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 508, 965, 381, 283 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 448, 508, 965, 381, 283. So, keep reading to learn more.
Given numbers are 448,508,965,381,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,508,965,381,283 is 46614039360.
Find LCM of 448,508,965,381,283 with Prime Factorization
| 2 | 448, 508, 965, 381, 283 |
| 2 | 224, 254, 965, 381, 283 |
| 127 | 112, 127, 965, 381, 283 |
| 112, 1, 965, 3, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 127 x 112 x 1 x 965 x 3 x 283 = 46614039360
Therefore, the lowest common multiple of 448,508,965,381,283 is 46614039360.
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.
448 x 508 x 965 x 381 x 283 = 23679931994880
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
508 : 1, 2, 4, 127, 254, 508
965 : 1, 5, 193, 965
381 : 1, 3, 127, 381
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,508,965,381,283, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
508:2x 2x 127
965:5x 193
381:3x 127
283:283
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 127 = 508
Therefore, the value for common factors is 508.
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 = 23679931994880/(1x508)
LCM = 23679931994880/508
LCM = 46614039360
Thus, we can understand that the LCM of 448,508,965,381,283 is 46614039360.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 448, 508, 965, 381, 283
1. What is the LCM of 448, 508, 965, 381, 283?
Answer: LCM of 448, 508, 965, 381, 283 is 46614039360.
2. How to calculate the LCM of 448, 508, 965, 381, 283?
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 448, 508, 965, 381, 283.
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}.