Find the LCM of 939, 751, 858, 840, 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 939, 751, 858, 840, 966. So, keep reading to learn more.
Given numbers are 939,751,858,840,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,751,858,840,966 is 649422653880.
Find LCM of 939,751,858,840,966 with Prime Factorization
2 | 939, 751, 858, 840, 966 |
3 | 939, 751, 429, 420, 483 |
7 | 313, 751, 143, 140, 161 |
313, 751, 143, 20, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 313 x 751 x 143 x 20 x 23 = 649422653880
Therefore, the lowest common multiple of 939,751,858,840,966 is 649422653880.
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.
939 x 751 x 858 x 840 x 966 = 490963526333280
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.
939 : 1, 3, 313, 939
751 : 1, 751
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,751,858,840,966, is 1.
Now, the common factors can be found like this.
939:3x 313
751:751
858:2x 3x 11x 13
840:2x 2x 2x 3x 5x 7
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 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 = 490963526333280/(1x756)
LCM = 490963526333280/756
LCM = 649422653880
Thus, we can understand that the LCM of 939,751,858,840,966 is 649422653880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 939, 751, 858, 840, 966?
Answer: LCM of 939, 751, 858, 840, 966 is 649422653880.
2. How to calculate the LCM of 939, 751, 858, 840, 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 939, 751, 858, 840, 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}.