LCM of 469, 585, 765, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 585, 765, 754 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 469, 585, 765, 754. So, keep reading to learn more.
Given numbers are 469,585,765,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,585,765,754 is 270523890.
Find LCM of 469,585,765,754 with Prime Factorization
| 3 | 469, 585, 765, 754 |
| 3 | 469, 195, 255, 754 |
| 5 | 469, 65, 85, 754 |
| 13 | 469, 13, 17, 754 |
| 469, 1, 17, 58 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 469 x 1 x 17 x 58 = 270523890
Therefore, the lowest common multiple of 469,585,765,754 is 270523890.
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.
469 x 585 x 765 x 754 = 158256475650
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.
469 : 1, 7, 67, 469
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,585,765,754, is 1.
Now, the common factors can be found like this.
469:7x 67
585:3x 3x 5x 13
765:3x 3x 5x 17
754:2x 13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 13 = 585
Therefore, the value for common factors is 585.
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 = 158256475650/(1x585)
LCM = 158256475650/585
LCM = 270523890
Thus, we can understand that the LCM of 469,585,765,754 is 270523890.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 469, 585, 765, 754
1. What is the LCM of 469, 585, 765, 754?
Answer: LCM of 469, 585, 765, 754 is 270523890.
2. How to calculate the LCM of 469, 585, 765, 754?
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 469, 585, 765, 754.
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}.