LCM of 966, 338, 867, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 338, 867, 897 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, 338, 867, 897. So, keep reading to learn more.
Given numbers are 966,338,867,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,338,867,897 is 47180406.
Find LCM of 966,338,867,897 with Prime Factorization
| 2 | 966, 338, 867, 897 |
| 3 | 483, 169, 867, 897 |
| 13 | 161, 169, 289, 299 |
| 23 | 161, 13, 289, 23 |
| 7, 13, 289, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 7 x 13 x 289 x 1 = 47180406
Therefore, the lowest common multiple of 966,338,867,897 is 47180406.
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 338 x 867 x 897 = 253924945092
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
338 : 1, 2, 13, 26, 169, 338
867 : 1, 3, 17, 51, 289, 867
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,338,867,897, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
338:2x 13x 13
867:3x 17x 17
897:3x 13x 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 3x 3x 13x 23 = 5382
Therefore, the value for common factors is 5382.
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 = 253924945092/(1x5382)
LCM = 253924945092/5382
LCM = 47180406
Thus, we can understand that the LCM of 966,338,867,897 is 47180406.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 966, 338, 867, 897
1. What is the LCM of 966, 338, 867, 897?
Answer: LCM of 966, 338, 867, 897 is 47180406.
2. How to calculate the LCM of 966, 338, 867, 897?
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, 338, 867, 897.
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}.