LCM of 289, 560, 975, 126, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 560, 975, 126, 297 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, 560, 975, 126, 297. So, keep reading to learn more.
Given numbers are 289,560,975,126,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,560,975,126,297 is 3124321200.
Find LCM of 289,560,975,126,297 with Prime Factorization
| 2 | 289, 560, 975, 126, 297 |
| 3 | 289, 280, 975, 63, 297 |
| 3 | 289, 280, 325, 21, 99 |
| 5 | 289, 280, 325, 7, 33 |
| 7 | 289, 56, 65, 7, 33 |
| 289, 8, 65, 1, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 289 x 8 x 65 x 1 x 33 = 3124321200
Therefore, the lowest common multiple of 289,560,975,126,297 is 3124321200.
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 560 x 975 x 126 x 297 = 5904967068000
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
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,560,975,126,297, is 1.
Now, the common factors can be found like this.
289:17x 17
560:2x 2x 2x 2x 5x 7
975:3x 5x 5x 13
126:2x 3x 3x 7
297:3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 7 = 1890
Therefore, the value for common factors is 1890.
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 = 5904967068000/(1x1890)
LCM = 5904967068000/1890
LCM = 3124321200
Thus, we can understand that the LCM of 289,560,975,126,297 is 3124321200.
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FAQs on LCM of 289, 560, 975, 126, 297
1. What is the LCM of 289, 560, 975, 126, 297?
Answer: LCM of 289, 560, 975, 126, 297 is 3124321200.
2. How to calculate the LCM of 289, 560, 975, 126, 297?
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, 560, 975, 126, 297.
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}.