Find the LCM of 407, 793, 286, 924 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 407, 793, 286, 924. So, keep reading to learn more.
Given numbers are 407,793,286,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,793,286,924 is 27111084.
Find LCM of 407,793,286,924 with Prime Factorization
2 | 407, 793, 286, 924 |
11 | 407, 793, 143, 462 |
13 | 37, 793, 13, 42 |
37, 61, 1, 42 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 37 x 61 x 1 x 42 = 27111084
Therefore, the lowest common multiple of 407,793,286,924 is 27111084.
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.
407 x 793 x 286 x 924 = 85291470264
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.
407 : 1, 11, 37, 407
793 : 1, 13, 61, 793
286 : 1, 2, 11, 13, 22, 26, 143, 286
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,793,286,924, is 1.
Now, the common factors can be found like this.
407:11x 37
793:13x 61
286:2x 11x 13
924:2x 2x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 13 = 3146
Therefore, the value for common factors is 3146.
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 = 85291470264/(1x3146)
LCM = 85291470264/3146
LCM = 27111084
Thus, we can understand that the LCM of 407,793,286,924 is 27111084.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 793, 286, 924?
Answer: LCM of 407, 793, 286, 924 is 27111084.
2. How to calculate the LCM of 407, 793, 286, 924?
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 407, 793, 286, 924.
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}.