LCM of 589, 904, 504, 270, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 904, 504, 270, 933 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 589, 904, 504, 270, 933. So, keep reading to learn more.
Given numbers are 589,904,504,270,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,904,504,270,933 is 156486156120.
Find LCM of 589,904,504,270,933 with Prime Factorization
| 2 | 589, 904, 504, 270, 933 |
| 2 | 589, 452, 252, 135, 933 |
| 2 | 589, 226, 126, 135, 933 |
| 3 | 589, 113, 63, 135, 933 |
| 3 | 589, 113, 21, 45, 311 |
| 589, 113, 7, 15, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 589 x 113 x 7 x 15 x 311 = 156486156120
Therefore, the lowest common multiple of 589,904,504,270,933 is 156486156120.
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.
589 x 904 x 504 x 270 x 933 = 67602019443840
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.
589 : 1, 19, 31, 589
904 : 1, 2, 4, 8, 113, 226, 452, 904
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,904,504,270,933, is 1.
Now, the common factors can be found like this.
589:19x 31
904:2x 2x 2x 113
504:2x 2x 2x 3x 3x 7
270:2x 3x 3x 3x 5
933:3x 311
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 2x 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 67602019443840/(1x432)
LCM = 67602019443840/432
LCM = 156486156120
Thus, we can understand that the LCM of 589,904,504,270,933 is 156486156120.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 589, 904, 504, 270, 933
1. What is the LCM of 589, 904, 504, 270, 933?
Answer: LCM of 589, 904, 504, 270, 933 is 156486156120.
2. How to calculate the LCM of 589, 904, 504, 270, 933?
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 589, 904, 504, 270, 933.
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}.