Find the LCM of 296, 705, 470, 289, 312 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 296, 705, 470, 289, 312. So, keep reading to learn more.
Given numbers are 296,705,470,289,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,705,470,289,312 is 784010760.
Find LCM of 296,705,470,289,312 with Prime Factorization
2 | 296, 705, 470, 289, 312 |
2 | 148, 705, 235, 289, 156 |
2 | 74, 705, 235, 289, 78 |
3 | 37, 705, 235, 289, 39 |
5 | 37, 235, 235, 289, 13 |
47 | 37, 47, 47, 289, 13 |
37, 1, 1, 289, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 47 x 37 x 1 x 1 x 289 x 13 = 784010760
Therefore, the lowest common multiple of 296,705,470,289,312 is 784010760.
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.
296 x 705 x 470 x 289 x 312 = 8843641372800
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
705 : 1, 3, 5, 15, 47, 141, 235, 705
470 : 1, 2, 5, 10, 47, 94, 235, 470
289 : 1, 17, 289
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,705,470,289,312, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
705:3x 5x 47
470:2x 5x 47
289:17x 17
312:2x 2x 2x 3x 13
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 3x 5x 47 = 11280
Therefore, the value for common factors is 11280.
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 = 8843641372800/(1x11280)
LCM = 8843641372800/11280
LCM = 784010760
Thus, we can understand that the LCM of 296,705,470,289,312 is 784010760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 296, 705, 470, 289, 312?
Answer: LCM of 296, 705, 470, 289, 312 is 784010760.
2. How to calculate the LCM of 296, 705, 470, 289, 312?
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 296, 705, 470, 289, 312.
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}.