LCM of 806, 931, 871, 931, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 931, 871, 931, 146 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, 931, 871, 931, 146. So, keep reading to learn more.
Given numbers are 806,931,871,931,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,931,871,931,146 is 3670137926.
Find LCM of 806,931,871,931,146 with Prime Factorization
| 2 | 806, 931, 871, 931, 146 |
| 7 | 403, 931, 871, 931, 73 |
| 7 | 403, 133, 871, 133, 73 |
| 13 | 403, 19, 871, 19, 73 |
| 19 | 31, 19, 67, 19, 73 |
| 31, 1, 67, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 13 x 19 x 31 x 1 x 67 x 1 x 73 = 3670137926
Therefore, the lowest common multiple of 806,931,871,931,146 is 3670137926.
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 931 x 871 x 931 x 146 = 88839358636756
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
931 : 1, 7, 19, 49, 133, 931
871 : 1, 13, 67, 871
931 : 1, 7, 19, 49, 133, 931
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,931,871,931,146, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
931:7x 7x 19
871:13x 67
931:7x 7x 19
146:2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 13x 19 = 24206
Therefore, the value for common factors is 24206.
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 = 88839358636756/(1x24206)
LCM = 88839358636756/24206
LCM = 3670137926
Thus, we can understand that the LCM of 806,931,871,931,146 is 3670137926.
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FAQs on LCM of 806, 931, 871, 931, 146
1. What is the LCM of 806, 931, 871, 931, 146?
Answer: LCM of 806, 931, 871, 931, 146 is 3670137926.
2. How to calculate the LCM of 806, 931, 871, 931, 146?
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, 931, 871, 931, 146.
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}.