LCM of 933, 374, 813, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 374, 813, 986 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 933, 374, 813, 986. So, keep reading to learn more.
Given numbers are 933,374,813,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,374,813,986 is 2742335178.
Find LCM of 933,374,813,986 with Prime Factorization
| 2 | 933, 374, 813, 986 |
| 3 | 933, 187, 813, 493 |
| 17 | 311, 187, 271, 493 |
| 311, 11, 271, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 311 x 11 x 271 x 29 = 2742335178
Therefore, the lowest common multiple of 933,374,813,986 is 2742335178.
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.
933 x 374 x 813 x 986 = 279718188156
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.
933 : 1, 3, 311, 933
374 : 1, 2, 11, 17, 22, 34, 187, 374
813 : 1, 3, 271, 813
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,374,813,986, is 1.
Now, the common factors can be found like this.
933:3x 311
374:2x 11x 17
813:3x 271
986:2x 17x 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 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 279718188156/(1x102)
LCM = 279718188156/102
LCM = 2742335178
Thus, we can understand that the LCM of 933,374,813,986 is 2742335178.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 933, 374, 813, 986
1. What is the LCM of 933, 374, 813, 986?
Answer: LCM of 933, 374, 813, 986 is 2742335178.
2. How to calculate the LCM of 933, 374, 813, 986?
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 933, 374, 813, 986.
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}.