LCM of 966, 806, 121, 616, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 806, 121, 616, 899 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 966, 806, 121, 616, 899. So, keep reading to learn more.
Given numbers are 966,806,121,616,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,806,121,616,899 is 5464186728.
Find LCM of 966,806,121,616,899 with Prime Factorization
| 2 | 966, 806, 121, 616, 899 |
| 7 | 483, 403, 121, 308, 899 |
| 11 | 69, 403, 121, 44, 899 |
| 31 | 69, 403, 11, 4, 899 |
| 69, 13, 11, 4, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 31 x 69 x 13 x 11 x 4 x 29 = 5464186728
Therefore, the lowest common multiple of 966,806,121,616,899 is 5464186728.
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.
966 x 806 x 121 x 616 x 899 = 52172054878944
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
806 : 1, 2, 13, 26, 31, 62, 403, 806
121 : 1, 11, 121
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,806,121,616,899, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
806:2x 13x 31
121:11x 11
616:2x 2x 2x 7x 11
899:29x 31
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 7x 11x 31 = 9548
Therefore, the value for common factors is 9548.
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 = 52172054878944/(1x9548)
LCM = 52172054878944/9548
LCM = 5464186728
Thus, we can understand that the LCM of 966,806,121,616,899 is 5464186728.
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FAQs on LCM of 966, 806, 121, 616, 899
1. What is the LCM of 966, 806, 121, 616, 899?
Answer: LCM of 966, 806, 121, 616, 899 is 5464186728.
2. How to calculate the LCM of 966, 806, 121, 616, 899?
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 966, 806, 121, 616, 899.
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}.