LCM of 160, 667, 336, 868, 789
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 667, 336, 868, 789 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 160, 667, 336, 868, 789. So, keep reading to learn more.
Given numbers are 160,667,336,868,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,667,336,868,789 is 18271851360.
Find LCM of 160,667,336,868,789 with Prime Factorization
| 2 | 160, 667, 336, 868, 789 |
| 2 | 80, 667, 168, 434, 789 |
| 2 | 40, 667, 84, 217, 789 |
| 2 | 20, 667, 42, 217, 789 |
| 3 | 10, 667, 21, 217, 789 |
| 7 | 10, 667, 7, 217, 263 |
| 10, 667, 1, 31, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 10 x 667 x 1 x 31 x 263 = 18271851360
Therefore, the lowest common multiple of 160,667,336,868,789 is 18271851360.
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.
160 x 667 x 336 x 868 x 789 = 24557368227840
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
667 : 1, 23, 29, 667
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,667,336,868,789, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
667:23x 29
336:2x 2x 2x 2x 3x 7
868:2x 2x 7x 31
789:3x 263
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 7 = 1344
Therefore, the value for common factors is 1344.
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 = 24557368227840/(1x1344)
LCM = 24557368227840/1344
LCM = 18271851360
Thus, we can understand that the LCM of 160,667,336,868,789 is 18271851360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 160, 667, 336, 868, 789
1. What is the LCM of 160, 667, 336, 868, 789?
Answer: LCM of 160, 667, 336, 868, 789 is 18271851360.
2. How to calculate the LCM of 160, 667, 336, 868, 789?
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 160, 667, 336, 868, 789.
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}.