LCM of 484, 690, 759, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 690, 759, 965 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 484, 690, 759, 965. So, keep reading to learn more.
Given numbers are 484,690,759,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,690,759,965 is 32227140.
Find LCM of 484,690,759,965 with Prime Factorization
| 2 | 484, 690, 759, 965 |
| 3 | 242, 345, 759, 965 |
| 5 | 242, 115, 253, 965 |
| 11 | 242, 23, 253, 193 |
| 23 | 22, 23, 23, 193 |
| 22, 1, 1, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 23 x 22 x 1 x 1 x 193 = 32227140
Therefore, the lowest common multiple of 484,690,759,965 is 32227140.
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.
484 x 690 x 759 x 965 = 244603992600
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
759 : 1, 3, 11, 23, 33, 69, 253, 759
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,690,759,965, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
690:2x 3x 5x 23
759:3x 11x 23
965:5x 193
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 5x 11x 23 = 7590
Therefore, the value for common factors is 7590.
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 = 244603992600/(1x7590)
LCM = 244603992600/7590
LCM = 32227140
Thus, we can understand that the LCM of 484,690,759,965 is 32227140.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 484, 690, 759, 965
1. What is the LCM of 484, 690, 759, 965?
Answer: LCM of 484, 690, 759, 965 is 32227140.
2. How to calculate the LCM of 484, 690, 759, 965?
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 484, 690, 759, 965.
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}.