LCM of 586, 332, 957, 857, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 332, 957, 857, 176 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 586, 332, 957, 857, 176. So, keep reading to learn more.
Given numbers are 586,332,957,857,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,332,957,857,176 is 319123256496.
Find LCM of 586,332,957,857,176 with Prime Factorization
| 2 | 586, 332, 957, 857, 176 |
| 2 | 293, 166, 957, 857, 88 |
| 11 | 293, 83, 957, 857, 44 |
| 293, 83, 87, 857, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 293 x 83 x 87 x 857 x 4 = 319123256496
Therefore, the lowest common multiple of 586,332,957,857,176 is 319123256496.
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.
586 x 332 x 957 x 857 x 176 = 28082846571648
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.
586 : 1, 2, 293, 586
332 : 1, 2, 4, 83, 166, 332
957 : 1, 3, 11, 29, 33, 87, 319, 957
857 : 1, 857
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,332,957,857,176, is 1.
Now, the common factors can be found like this.
586:2x 293
332:2x 2x 83
957:3x 11x 29
857:857
176:2x 2x 2x 2x 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 2x 2x 11 = 88
Therefore, the value for common factors is 88.
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 = 28082846571648/(1x88)
LCM = 28082846571648/88
LCM = 319123256496
Thus, we can understand that the LCM of 586,332,957,857,176 is 319123256496.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 586, 332, 957, 857, 176
1. What is the LCM of 586, 332, 957, 857, 176?
Answer: LCM of 586, 332, 957, 857, 176 is 319123256496.
2. How to calculate the LCM of 586, 332, 957, 857, 176?
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 586, 332, 957, 857, 176.
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}.