LCM of 966, 108, 506, 999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 108, 506, 999 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, 108, 506, 999. So, keep reading to learn more.
Given numbers are 966,108,506,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,108,506,999 is 7076916.
Find LCM of 966,108,506,999 with Prime Factorization
| 2 | 966, 108, 506, 999 |
| 3 | 483, 54, 253, 999 |
| 3 | 161, 18, 253, 333 |
| 3 | 161, 6, 253, 111 |
| 23 | 161, 2, 253, 37 |
| 7, 2, 11, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 23 x 7 x 2 x 11 x 37 = 7076916
Therefore, the lowest common multiple of 966,108,506,999 is 7076916.
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 108 x 506 x 999 = 52737178032
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
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
506 : 1, 2, 11, 22, 23, 46, 253, 506
999 : 1, 3, 9, 27, 37, 111, 333, 999
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,108,506,999, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
108:2x 2x 3x 3x 3
506:2x 11x 23
999:3x 3x 3x 37
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 3x 3x 3x 3x 23 = 7452
Therefore, the value for common factors is 7452.
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 = 52737178032/(1x7452)
LCM = 52737178032/7452
LCM = 7076916
Thus, we can understand that the LCM of 966,108,506,999 is 7076916.
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FAQs on LCM of 966, 108, 506, 999
1. What is the LCM of 966, 108, 506, 999?
Answer: LCM of 966, 108, 506, 999 is 7076916.
2. How to calculate the LCM of 966, 108, 506, 999?
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, 108, 506, 999.
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}.