Find the LCM of 286, 418, 793, 940 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 286, 418, 793, 940. So, keep reading to learn more.
Given numbers are 286,418,793,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,418,793,940 is 155792780.
Find LCM of 286,418,793,940 with Prime Factorization
2 | 286, 418, 793, 940 |
11 | 143, 209, 793, 470 |
13 | 13, 19, 793, 470 |
1, 19, 61, 470 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 1 x 19 x 61 x 470 = 155792780
Therefore, the lowest common multiple of 286,418,793,940 is 155792780.
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.
286 x 418 x 793 x 940 = 89113470160
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
418 : 1, 2, 11, 19, 22, 38, 209, 418
793 : 1, 13, 61, 793
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,418,793,940, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
418:2x 11x 19
793:13x 61
940:2x 2x 5x 47
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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 89113470160/(1x572)
LCM = 89113470160/572
LCM = 155792780
Thus, we can understand that the LCM of 286,418,793,940 is 155792780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 286, 418, 793, 940?
Answer: LCM of 286, 418, 793, 940 is 155792780.
2. How to calculate the LCM of 286, 418, 793, 940?
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 286, 418, 793, 940.
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}.