LCM of 365, 200, 268, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 365, 200, 268, 289 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 365, 200, 268, 289. So, keep reading to learn more.
Given numbers are 365,200,268,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,200,268,289 is 282699800.
Find LCM of 365,200,268,289 with Prime Factorization
| 2 | 365, 200, 268, 289 |
| 2 | 365, 100, 134, 289 |
| 5 | 365, 50, 67, 289 |
| 73, 10, 67, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 73 x 10 x 67 x 289 = 282699800
Therefore, the lowest common multiple of 365,200,268,289 is 282699800.
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.
365 x 200 x 268 x 289 = 5653996000
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.
365 : 1, 5, 73, 365
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
268 : 1, 2, 4, 67, 134, 268
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,200,268,289, is 1.
Now, the common factors can be found like this.
365:5x 73
200:2x 2x 2x 5x 5
268:2x 2x 67
289:17x 17
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 5 = 20
Therefore, the value for common factors is 20.
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 = 5653996000/(1x20)
LCM = 5653996000/20
LCM = 282699800
Thus, we can understand that the LCM of 365,200,268,289 is 282699800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 365, 200, 268, 289
1. What is the LCM of 365, 200, 268, 289?
Answer: LCM of 365, 200, 268, 289 is 282699800.
2. How to calculate the LCM of 365, 200, 268, 289?
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 365, 200, 268, 289.
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}.