LCM of 453, 696, 580, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 453, 696, 580, 909 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 453, 696, 580, 909. So, keep reading to learn more.
Given numbers are 453,696,580,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 453,696,580,909 is 159220440.
Find LCM of 453,696,580,909 with Prime Factorization
| 2 | 453, 696, 580, 909 |
| 2 | 453, 348, 290, 909 |
| 3 | 453, 174, 145, 909 |
| 29 | 151, 58, 145, 303 |
| 151, 2, 5, 303 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 151 x 2 x 5 x 303 = 159220440
Therefore, the lowest common multiple of 453,696,580,909 is 159220440.
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.
453 x 696 x 580 x 909 = 166226139360
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.
453 : 1, 3, 151, 453
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,696,580,909, is 1.
Now, the common factors can be found like this.
453:3x 151
696:2x 2x 2x 3x 29
580:2x 2x 5x 29
909:3x 3x 101
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 3x 3x 29 = 1044
Therefore, the value for common factors is 1044.
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 = 166226139360/(1x1044)
LCM = 166226139360/1044
LCM = 159220440
Thus, we can understand that the LCM of 453,696,580,909 is 159220440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 453, 696, 580, 909
1. What is the LCM of 453, 696, 580, 909?
Answer: LCM of 453, 696, 580, 909 is 159220440.
2. How to calculate the LCM of 453, 696, 580, 909?
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 453, 696, 580, 909.
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}.