Find the LCM of 827, 960, 722, 705, 510 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 827, 960, 722, 705, 510. So, keep reading to learn more.
Given numbers are 827,960,722,705,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,960,722,705,510 is 228997490880.
Find LCM of 827,960,722,705,510 with Prime Factorization
2 | 827, 960, 722, 705, 510 |
3 | 827, 480, 361, 705, 255 |
5 | 827, 160, 361, 235, 85 |
827, 32, 361, 47, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 827 x 32 x 361 x 47 x 17 = 228997490880
Therefore, the lowest common multiple of 827,960,722,705,510 is 228997490880.
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.
827 x 960 x 722 x 705 x 510 = 206097741792000
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.
827 : 1, 827
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
722 : 1, 2, 19, 38, 361, 722
705 : 1, 3, 5, 15, 47, 141, 235, 705
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,960,722,705,510, is 1.
Now, the common factors can be found like this.
827:827
960:2x 2x 2x 2x 2x 2x 3x 5
722:2x 19x 19
705:3x 5x 47
510:2x 3x 5x 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 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 206097741792000/(1x900)
LCM = 206097741792000/900
LCM = 228997490880
Thus, we can understand that the LCM of 827,960,722,705,510 is 228997490880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 827, 960, 722, 705, 510?
Answer: LCM of 827, 960, 722, 705, 510 is 228997490880.
2. How to calculate the LCM of 827, 960, 722, 705, 510?
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 827, 960, 722, 705, 510.
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}.