Find the LCM of 839, 451, 565, 684, 158 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 839, 451, 565, 684, 158. So, keep reading to learn more.
Given numbers are 839,451,565,684,158
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,451,565,684,158 is 11552344822260.
Find LCM of 839,451,565,684,158 with Prime Factorization
2 | 839, 451, 565, 684, 158 |
839, 451, 565, 342, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 839 x 451 x 565 x 342 x 79 = 11552344822260
Therefore, the lowest common multiple of 839,451,565,684,158 is 11552344822260.
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.
839 x 451 x 565 x 684 x 158 = 23104689644520
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.
839 : 1, 839
451 : 1, 11, 41, 451
565 : 1, 5, 113, 565
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
158 : 1, 2, 79, 158
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,451,565,684,158, is 1.
Now, the common factors can be found like this.
839:839
451:11x 41
565:5x 113
684:2x 2x 3x 3x 19
158:2x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 23104689644520/(1x2)
LCM = 23104689644520/2
LCM = 11552344822260
Thus, we can understand that the LCM of 839,451,565,684,158 is 11552344822260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 839, 451, 565, 684, 158?
Answer: LCM of 839, 451, 565, 684, 158 is 11552344822260.
2. How to calculate the LCM of 839, 451, 565, 684, 158?
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 839, 451, 565, 684, 158.
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}.