LCM of 288, 120, 320, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 120, 320, 822 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 288, 120, 320, 822. So, keep reading to learn more.
Given numbers are 288,120,320,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,120,320,822 is 394560.
Find LCM of 288,120,320,822 with Prime Factorization
| 2 | 288, 120, 320, 822 |
| 2 | 144, 60, 160, 411 |
| 2 | 72, 30, 80, 411 |
| 2 | 36, 15, 40, 411 |
| 2 | 18, 15, 20, 411 |
| 3 | 9, 15, 10, 411 |
| 5 | 3, 5, 10, 137 |
| 3, 1, 2, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 3 x 1 x 2 x 137 = 394560
Therefore, the lowest common multiple of 288,120,320,822 is 394560.
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.
288 x 120 x 320 x 822 = 9090662400
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
822 : 1, 2, 3, 6, 137, 274, 411, 822
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,120,320,822, is 2.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
120:2x 2x 2x 3x 5
320:2x 2x 2x 2x 2x 2x 5
822:2x 3x 137
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 2x 2x 2x 2x 2x 3x 3x 5 = 11520
Therefore, the value for common factors is 11520.
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 = 9090662400/(2x11520)
LCM = 9090662400/23040
LCM = 394560
Thus, we can understand that the LCM of 288,120,320,822 is 394560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 288, 120, 320, 822
1. What is the LCM of 288, 120, 320, 822?
Answer: LCM of 288, 120, 320, 822 is 394560.
2. How to calculate the LCM of 288, 120, 320, 822?
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 288, 120, 320, 822.
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}.