Find the LCM of 966, 745, 299, 897, 872 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, 745, 299, 897, 872. So, keep reading to learn more.
Given numbers are 966,745,299,897,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,745,299,897,872 is 4079089560.
Find LCM of 966,745,299,897,872 with Prime Factorization
2 | 966, 745, 299, 897, 872 |
3 | 483, 745, 299, 897, 436 |
13 | 161, 745, 299, 299, 436 |
23 | 161, 745, 23, 23, 436 |
7, 745, 1, 1, 436 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 7 x 745 x 1 x 1 x 436 = 4079089560
Therefore, the lowest common multiple of 966,745,299,897,872 is 4079089560.
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 745 x 299 x 897 x 872 = 168311393424720
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
745 : 1, 5, 149, 745
299 : 1, 13, 23, 299
897 : 1, 3, 13, 23, 39, 69, 299, 897
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,745,299,897,872, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
745:5x 149
299:13x 23
897:3x 13x 23
872:2x 2x 2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 23x 23 = 41262
Therefore, the value for common factors is 41262.
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 = 168311393424720/(1x41262)
LCM = 168311393424720/41262
LCM = 4079089560
Thus, we can understand that the LCM of 966,745,299,897,872 is 4079089560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 966, 745, 299, 897, 872?
Answer: LCM of 966, 745, 299, 897, 872 is 4079089560.
2. How to calculate the LCM of 966, 745, 299, 897, 872?
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, 745, 299, 897, 872.
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}.