LCM of 969, 380, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 380, 306 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 969, 380, 306. So, keep reading to learn more.
Given numbers are 969,380,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,380,306 is 58140.
Find LCM of 969,380,306 with Prime Factorization
| 2 | 969, 380, 306 |
| 3 | 969, 190, 153 |
| 17 | 323, 190, 51 |
| 19 | 19, 190, 3 |
| 1, 10, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 1 x 10 x 3 = 58140
Therefore, the lowest common multiple of 969,380,306 is 58140.
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.
969 x 380 x 306 = 112675320
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,380,306, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
380:2x 2x 5x 19
306:2x 3x 3x 17
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 17x 19 = 1938
Therefore, the value for common factors is 1938.
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 = 112675320/(1x1938)
LCM = 112675320/1938
LCM = 58140
Thus, we can understand that the LCM of 969,380,306 is 58140.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 969, 380, 306
1. What is the LCM of 969, 380, 306?
Answer: LCM of 969, 380, 306 is 58140.
2. How to calculate the LCM of 969, 380, 306?
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 969, 380, 306.
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}.