LCM of 289, 960, 306, 798, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 960, 306, 798, 363 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, 960, 306, 798, 363. So, keep reading to learn more.
Given numbers are 289,960,306,798,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,960,306,798,363 is 13394525760.
Find LCM of 289,960,306,798,363 with Prime Factorization
| 2 | 289, 960, 306, 798, 363 |
| 3 | 289, 480, 153, 399, 363 |
| 17 | 289, 160, 51, 133, 121 |
| 17, 160, 3, 133, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 17 x 160 x 3 x 133 x 121 = 13394525760
Therefore, the lowest common multiple of 289,960,306,798,363 is 13394525760.
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 960 x 306 x 798 x 363 = 24592349295360
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
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,960,306,798,363, is 1.
Now, the common factors can be found like this.
289:17x 17
960:2x 2x 2x 2x 2x 2x 3x 5
306:2x 3x 3x 17
798:2x 3x 7x 19
363:3x 11x 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 2x 3x 3x 3x 17 = 1836
Therefore, the value for common factors is 1836.
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 = 24592349295360/(1x1836)
LCM = 24592349295360/1836
LCM = 13394525760
Thus, we can understand that the LCM of 289,960,306,798,363 is 13394525760.
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FAQs on LCM of 289, 960, 306, 798, 363
1. What is the LCM of 289, 960, 306, 798, 363?
Answer: LCM of 289, 960, 306, 798, 363 is 13394525760.
2. How to calculate the LCM of 289, 960, 306, 798, 363?
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, 960, 306, 798, 363.
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}.