Find the LCM of 289, 321, 300, 360 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, 321, 300, 360. So, keep reading to learn more.
Given numbers are 289,321,300,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,321,300,360 is 55661400.
Find LCM of 289,321,300,360 with Prime Factorization
2 | 289, 321, 300, 360 |
2 | 289, 321, 150, 180 |
3 | 289, 321, 75, 90 |
5 | 289, 107, 25, 30 |
289, 107, 5, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 289 x 107 x 5 x 6 = 55661400
Therefore, the lowest common multiple of 289,321,300,360 is 55661400.
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 321 x 300 x 360 = 10019052000
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
321 : 1, 3, 107, 321
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,321,300,360, is 1.
Now, the common factors can be found like this.
289:17x 17
321:3x 107
300:2x 2x 3x 5x 5
360:2x 2x 2x 3x 3x 5
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 5 = 180
Therefore, the value for common factors is 180.
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 = 10019052000/(1x180)
LCM = 10019052000/180
LCM = 55661400
Thus, we can understand that the LCM of 289,321,300,360 is 55661400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 289, 321, 300, 360?
Answer: LCM of 289, 321, 300, 360 is 55661400.
2. How to calculate the LCM of 289, 321, 300, 360?
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, 321, 300, 360.
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}.