Find the LCM of 166, 946, 570, 874, 957 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 166, 946, 570, 874, 957. So, keep reading to learn more.
Given numbers are 166,946,570,874,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,946,570,874,957 is 14925879210.
Find LCM of 166,946,570,874,957 with Prime Factorization
2 | 166, 946, 570, 874, 957 |
3 | 83, 473, 285, 437, 957 |
11 | 83, 473, 95, 437, 319 |
19 | 83, 43, 95, 437, 29 |
83, 43, 5, 23, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 83 x 43 x 5 x 23 x 29 = 14925879210
Therefore, the lowest common multiple of 166,946,570,874,957 is 14925879210.
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.
166 x 946 x 570 x 874 x 957 = 74868210117360
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.
166 : 1, 2, 83, 166
946 : 1, 2, 11, 22, 43, 86, 473, 946
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
874 : 1, 2, 19, 23, 38, 46, 437, 874
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,946,570,874,957, is 1.
Now, the common factors can be found like this.
166:2x 83
946:2x 11x 43
570:2x 3x 5x 19
874:2x 19x 23
957:3x 11x 29
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 2x 3x 11x 19 = 5016
Therefore, the value for common factors is 5016.
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 = 74868210117360/(1x5016)
LCM = 74868210117360/5016
LCM = 14925879210
Thus, we can understand that the LCM of 166,946,570,874,957 is 14925879210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 166, 946, 570, 874, 957?
Answer: LCM of 166, 946, 570, 874, 957 is 14925879210.
2. How to calculate the LCM of 166, 946, 570, 874, 957?
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 166, 946, 570, 874, 957.
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}.