Find the LCM of 855, 522, 966, 844 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 855, 522, 966, 844. So, keep reading to learn more.
Given numbers are 855,522,966,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,522,966,844 is 3369243780.
Find LCM of 855,522,966,844 with Prime Factorization
2 | 855, 522, 966, 844 |
3 | 855, 261, 483, 422 |
3 | 285, 87, 161, 422 |
95, 29, 161, 422 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 95 x 29 x 161 x 422 = 3369243780
Therefore, the lowest common multiple of 855,522,966,844 is 3369243780.
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.
855 x 522 x 966 x 844 = 363878328240
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
844 : 1, 2, 4, 211, 422, 844
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,522,966,844, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
522:2x 3x 3x 29
966:2x 3x 7x 23
844:2x 2x 211
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 3 = 108
Therefore, the value for common factors is 108.
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 = 363878328240/(1x108)
LCM = 363878328240/108
LCM = 3369243780
Thus, we can understand that the LCM of 855,522,966,844 is 3369243780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 855, 522, 966, 844?
Answer: LCM of 855, 522, 966, 844 is 3369243780.
2. How to calculate the LCM of 855, 522, 966, 844?
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 855, 522, 966, 844.
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}.