LCM of 505, 580, 895, 306, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 580, 895, 306, 168 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 505, 580, 895, 306, 168. So, keep reading to learn more.
Given numbers are 505,580,895,306,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,580,895,306,168 is 22460626440.
Find LCM of 505,580,895,306,168 with Prime Factorization
| 2 | 505, 580, 895, 306, 168 |
| 2 | 505, 290, 895, 153, 84 |
| 3 | 505, 145, 895, 153, 42 |
| 5 | 505, 145, 895, 51, 14 |
| 101, 29, 179, 51, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 101 x 29 x 179 x 51 x 14 = 22460626440
Therefore, the lowest common multiple of 505,580,895,306,168 is 22460626440.
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.
505 x 580 x 895 x 306 x 168 = 13476375864000
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.
505 : 1, 5, 101, 505
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
895 : 1, 5, 179, 895
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,580,895,306,168, is 1.
Now, the common factors can be found like this.
505:5x 101
580:2x 2x 5x 29
895:5x 179
306:2x 3x 3x 17
168:2x 2x 2x 3x 7
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 2x 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 13476375864000/(1x600)
LCM = 13476375864000/600
LCM = 22460626440
Thus, we can understand that the LCM of 505,580,895,306,168 is 22460626440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 505, 580, 895, 306, 168
1. What is the LCM of 505, 580, 895, 306, 168?
Answer: LCM of 505, 580, 895, 306, 168 is 22460626440.
2. How to calculate the LCM of 505, 580, 895, 306, 168?
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 505, 580, 895, 306, 168.
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}.