Find the LCM of 382, 312, 416, 956, 819 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 382, 312, 416, 956, 819. So, keep reading to learn more.
Given numbers are 382,312,416,956,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,312,416,956,819 is 1196368992.
Find LCM of 382,312,416,956,819 with Prime Factorization
2 | 382, 312, 416, 956, 819 |
2 | 191, 156, 208, 478, 819 |
2 | 191, 78, 104, 239, 819 |
3 | 191, 39, 52, 239, 819 |
13 | 191, 13, 52, 239, 273 |
191, 1, 4, 239, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 191 x 1 x 4 x 239 x 21 = 1196368992
Therefore, the lowest common multiple of 382,312,416,956,819 is 1196368992.
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.
382 x 312 x 416 x 956 x 819 = 38819781052416
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.
382 : 1, 2, 191, 382
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
956 : 1, 2, 4, 239, 478, 956
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,312,416,956,819, is 1.
Now, the common factors can be found like this.
382:2x 191
312:2x 2x 2x 3x 13
416:2x 2x 2x 2x 2x 13
956:2x 2x 239
819:3x 3x 7x 13
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 13x 13 = 32448
Therefore, the value for common factors is 32448.
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 = 38819781052416/(1x32448)
LCM = 38819781052416/32448
LCM = 1196368992
Thus, we can understand that the LCM of 382,312,416,956,819 is 1196368992.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 312, 416, 956, 819?
Answer: LCM of 382, 312, 416, 956, 819 is 1196368992.
2. How to calculate the LCM of 382, 312, 416, 956, 819?
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 382, 312, 416, 956, 819.
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}.