LCM of 966, 309, 324, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 309, 324, 882 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, 309, 324, 882. So, keep reading to learn more.
Given numbers are 966,309,324,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,309,324,882 is 37610244.
Find LCM of 966,309,324,882 with Prime Factorization
| 2 | 966, 309, 324, 882 |
| 3 | 483, 309, 162, 441 |
| 3 | 161, 103, 54, 147 |
| 7 | 161, 103, 18, 49 |
| 23, 103, 18, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 23 x 103 x 18 x 7 = 37610244
Therefore, the lowest common multiple of 966,309,324,882 is 37610244.
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 309 x 324 x 882 = 85300033392
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
309 : 1, 3, 103, 309
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,309,324,882, is 3.
Now, the common factors can be found like this.
966:2x 3x 7x 23
309:3x 103
324:2x 2x 3x 3x 3x 3
882:2x 3x 3x 7x 7
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 7 = 756
Therefore, the value for common factors is 756.
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 = 85300033392/(3x756)
LCM = 85300033392/2268
LCM = 37610244
Thus, we can understand that the LCM of 966,309,324,882 is 37610244.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 966, 309, 324, 882
1. What is the LCM of 966, 309, 324, 882?
Answer: LCM of 966, 309, 324, 882 is 37610244.
2. How to calculate the LCM of 966, 309, 324, 882?
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, 309, 324, 882.
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}.