LCM of 282, 393, 876, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 393, 876, 966 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 282, 393, 876, 966. So, keep reading to learn more.
Given numbers are 282,393,876,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,393,876,966 is 868358652.
Find LCM of 282,393,876,966 with Prime Factorization
| 2 | 282, 393, 876, 966 |
| 3 | 141, 393, 438, 483 |
| 47, 131, 146, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 131 x 146 x 161 = 868358652
Therefore, the lowest common multiple of 282,393,876,966 is 868358652.
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.
282 x 393 x 876 x 966 = 93782734416
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
393 : 1, 3, 131, 393
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,393,876,966, is 3.
Now, the common factors can be found like this.
282:2x 3x 47
393:3x 131
876:2x 2x 3x 73
966:2x 3x 7x 23
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 3 = 36
Therefore, the value for common factors is 36.
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 = 93782734416/(3x36)
LCM = 93782734416/108
LCM = 868358652
Thus, we can understand that the LCM of 282,393,876,966 is 868358652.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 282, 393, 876, 966
1. What is the LCM of 282, 393, 876, 966?
Answer: LCM of 282, 393, 876, 966 is 868358652.
2. How to calculate the LCM of 282, 393, 876, 966?
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 282, 393, 876, 966.
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}.