LCM of 505, 667, 460, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 667, 460, 899 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, 667, 460, 899. So, keep reading to learn more.
Given numbers are 505,667,460,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,667,460,899 is 41767540.
Find LCM of 505,667,460,899 with Prime Factorization
| 5 | 505, 667, 460, 899 |
| 23 | 101, 667, 92, 899 |
| 29 | 101, 29, 4, 899 |
| 101, 1, 4, 31 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 29 x 101 x 1 x 4 x 31 = 41767540
Therefore, the lowest common multiple of 505,667,460,899 is 41767540.
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 667 x 460 x 899 = 139294745900
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
667 : 1, 23, 29, 667
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,667,460,899, is 1.
Now, the common factors can be found like this.
505:5x 101
667:23x 29
460:2x 2x 5x 23
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23x 29 = 3335
Therefore, the value for common factors is 3335.
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 = 139294745900/(1x3335)
LCM = 139294745900/3335
LCM = 41767540
Thus, we can understand that the LCM of 505,667,460,899 is 41767540.
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FAQs on LCM of 505, 667, 460, 899
1. What is the LCM of 505, 667, 460, 899?
Answer: LCM of 505, 667, 460, 899 is 41767540.
2. How to calculate the LCM of 505, 667, 460, 899?
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, 667, 460, 899.
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}.