LCM of 203, 116, 418, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 116, 418, 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 203, 116, 418, 966. So, keep reading to learn more.
Given numbers are 203,116,418,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,116,418,966 is 11709852.
Find LCM of 203,116,418,966 with Prime Factorization
| 2 | 203, 116, 418, 966 |
| 7 | 203, 58, 209, 483 |
| 29 | 29, 58, 209, 69 |
| 1, 2, 209, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 1 x 2 x 209 x 69 = 11709852
Therefore, the lowest common multiple of 203,116,418,966 is 11709852.
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.
203 x 116 x 418 x 966 = 9508399824
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.
203 : 1, 7, 29, 203
116 : 1, 2, 4, 29, 58, 116
418 : 1, 2, 11, 19, 22, 38, 209, 418
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 203,116,418,966, is 1.
Now, the common factors can be found like this.
203:7x 29
116:2x 2x 29
418:2x 11x 19
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 7x 29 = 812
Therefore, the value for common factors is 812.
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 = 9508399824/(1x812)
LCM = 9508399824/812
LCM = 11709852
Thus, we can understand that the LCM of 203,116,418,966 is 11709852.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 203, 116, 418, 966
1. What is the LCM of 203, 116, 418, 966?
Answer: LCM of 203, 116, 418, 966 is 11709852.
2. How to calculate the LCM of 203, 116, 418, 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 203, 116, 418, 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}.