Find the LCM of 416, 282, 474, 488, 904 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 416, 282, 474, 488, 904. So, keep reading to learn more.
Given numbers are 416,282,474,488,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,282,474,488,904 is 31940948832.
Find LCM of 416,282,474,488,904 with Prime Factorization
2 | 416, 282, 474, 488, 904 |
2 | 208, 141, 237, 244, 452 |
2 | 104, 141, 237, 122, 226 |
3 | 52, 141, 237, 61, 113 |
52, 47, 79, 61, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 52 x 47 x 79 x 61 x 113 = 31940948832
Therefore, the lowest common multiple of 416,282,474,488,904 is 31940948832.
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.
416 x 282 x 474 x 488 x 904 = 24530648702976
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
282 : 1, 2, 3, 6, 47, 94, 141, 282
474 : 1, 2, 3, 6, 79, 158, 237, 474
488 : 1, 2, 4, 8, 61, 122, 244, 488
904 : 1, 2, 4, 8, 113, 226, 452, 904
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,282,474,488,904, is 2.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
282:2x 3x 47
474:2x 3x 79
488:2x 2x 2x 61
904:2x 2x 2x 113
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 = 24530648702976/(2x384)
LCM = 24530648702976/768
LCM = 31940948832
Thus, we can understand that the LCM of 416,282,474,488,904 is 31940948832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 282, 474, 488, 904?
Answer: LCM of 416, 282, 474, 488, 904 is 31940948832.
2. How to calculate the LCM of 416, 282, 474, 488, 904?
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 416, 282, 474, 488, 904.
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}.