LCM of 505, 731, 646, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 731, 646, 570 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, 731, 646, 570. So, keep reading to learn more.
Given numbers are 505,731,646,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,731,646,570 is 42083670.
Find LCM of 505,731,646,570 with Prime Factorization
| 2 | 505, 731, 646, 570 |
| 5 | 505, 731, 323, 285 |
| 17 | 101, 731, 323, 57 |
| 19 | 101, 43, 19, 57 |
| 101, 43, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 19 x 101 x 43 x 1 x 3 = 42083670
Therefore, the lowest common multiple of 505,731,646,570 is 42083670.
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 731 x 646 x 570 = 135930254100
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
731 : 1, 17, 43, 731
646 : 1, 2, 17, 19, 34, 38, 323, 646
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,731,646,570, is 1.
Now, the common factors can be found like this.
505:5x 101
731:17x 43
646:2x 17x 19
570:2x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17x 19 = 3230
Therefore, the value for common factors is 3230.
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 = 135930254100/(1x3230)
LCM = 135930254100/3230
LCM = 42083670
Thus, we can understand that the LCM of 505,731,646,570 is 42083670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 505, 731, 646, 570
1. What is the LCM of 505, 731, 646, 570?
Answer: LCM of 505, 731, 646, 570 is 42083670.
2. How to calculate the LCM of 505, 731, 646, 570?
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, 731, 646, 570.
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}.