LCM of 966, 489, 309, 163
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 489, 309, 163 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, 489, 309, 163. So, keep reading to learn more.
Given numbers are 966,489,309,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,489,309,163 is 16218174.
Find LCM of 966,489,309,163 with Prime Factorization
| 3 | 966, 489, 309, 163 |
| 163 | 322, 163, 103, 163 |
| 322, 1, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 163 x 322 x 1 x 103 x 1 = 16218174
Therefore, the lowest common multiple of 966,489,309,163 is 16218174.
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 489 x 309 x 163 = 23792061258
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
489 : 1, 3, 163, 489
309 : 1, 3, 103, 309
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,489,309,163, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
489:3x 163
309:3x 103
163:163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 163 = 1467
Therefore, the value for common factors is 1467.
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 = 23792061258/(1x1467)
LCM = 23792061258/1467
LCM = 16218174
Thus, we can understand that the LCM of 966,489,309,163 is 16218174.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 966, 489, 309, 163
1. What is the LCM of 966, 489, 309, 163?
Answer: LCM of 966, 489, 309, 163 is 16218174.
2. How to calculate the LCM of 966, 489, 309, 163?
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, 489, 309, 163.
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}.