LCM of 289, 312, 775, 504, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 312, 775, 504, 975 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 289, 312, 775, 504, 975. So, keep reading to learn more.
Given numbers are 289,312,775,504,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,312,775,504,975 is 1467484200.
Find LCM of 289,312,775,504,975 with Prime Factorization
| 2 | 289, 312, 775, 504, 975 |
| 2 | 289, 156, 775, 252, 975 |
| 2 | 289, 78, 775, 126, 975 |
| 3 | 289, 39, 775, 63, 975 |
| 5 | 289, 13, 775, 21, 325 |
| 5 | 289, 13, 155, 21, 65 |
| 13 | 289, 13, 31, 21, 13 |
| 289, 1, 31, 21, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 13 x 289 x 1 x 31 x 21 x 1 = 1467484200
Therefore, the lowest common multiple of 289,312,775,504,975 is 1467484200.
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.
289 x 312 x 775 x 504 x 975 = 34339130280000
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.
289 : 1, 17, 289
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
775 : 1, 5, 25, 31, 155, 775
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
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,312,775,504,975, is 1.
Now, the common factors can be found like this.
289:17x 17
312:2x 2x 2x 3x 13
775:5x 5x 31
504:2x 2x 2x 3x 3x 7
975:3x 5x 5x 13
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 3x 5x 5x 13 = 23400
Therefore, the value for common factors is 23400.
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 = 34339130280000/(1x23400)
LCM = 34339130280000/23400
LCM = 1467484200
Thus, we can understand that the LCM of 289,312,775,504,975 is 1467484200.
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FAQs on LCM of 289, 312, 775, 504, 975
1. What is the LCM of 289, 312, 775, 504, 975?
Answer: LCM of 289, 312, 775, 504, 975 is 1467484200.
2. How to calculate the LCM of 289, 312, 775, 504, 975?
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 289, 312, 775, 504, 975.
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}.