LCM of 806, 320, 834, 480, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 320, 834, 480, 167 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 806, 320, 834, 480, 167. So, keep reading to learn more.
Given numbers are 806,320,834,480,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,320,834,480,167 is 8980645440.
Find LCM of 806,320,834,480,167 with Prime Factorization
| 2 | 806, 320, 834, 480, 167 |
| 2 | 403, 160, 417, 240, 167 |
| 2 | 403, 80, 417, 120, 167 |
| 2 | 403, 40, 417, 60, 167 |
| 2 | 403, 20, 417, 30, 167 |
| 3 | 403, 10, 417, 15, 167 |
| 5 | 403, 10, 139, 5, 167 |
| 403, 2, 139, 1, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 403 x 2 x 139 x 1 x 167 = 8980645440
Therefore, the lowest common multiple of 806,320,834,480,167 is 8980645440.
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.
806 x 320 x 834 x 480 x 167 = 17242839244800
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
834 : 1, 2, 3, 6, 139, 278, 417, 834
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,320,834,480,167, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
320:2x 2x 2x 2x 2x 2x 5
834:2x 3x 139
480:2x 2x 2x 2x 2x 3x 5
167:167
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 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 17242839244800/(1x1920)
LCM = 17242839244800/1920
LCM = 8980645440
Thus, we can understand that the LCM of 806,320,834,480,167 is 8980645440.
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FAQs on LCM of 806, 320, 834, 480, 167
1. What is the LCM of 806, 320, 834, 480, 167?
Answer: LCM of 806, 320, 834, 480, 167 is 8980645440.
2. How to calculate the LCM of 806, 320, 834, 480, 167?
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 806, 320, 834, 480, 167.
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}.