Find the LCM of 717, 806, 590, 624 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 717, 806, 590, 624. So, keep reading to learn more.
Given numbers are 717,806,590,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,806,590,624 is 1363848720.
Find LCM of 717,806,590,624 with Prime Factorization
2 | 717, 806, 590, 624 |
3 | 717, 403, 295, 312 |
13 | 239, 403, 295, 104 |
239, 31, 295, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 239 x 31 x 295 x 8 = 1363848720
Therefore, the lowest common multiple of 717,806,590,624 is 1363848720.
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.
717 x 806 x 590 x 624 = 212760400320
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.
717 : 1, 3, 239, 717
806 : 1, 2, 13, 26, 31, 62, 403, 806
590 : 1, 2, 5, 10, 59, 118, 295, 590
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,806,590,624, is 1.
Now, the common factors can be found like this.
717:3x 239
806:2x 13x 31
590:2x 5x 59
624:2x 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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 212760400320/(1x156)
LCM = 212760400320/156
LCM = 1363848720
Thus, we can understand that the LCM of 717,806,590,624 is 1363848720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 806, 590, 624?
Answer: LCM of 717, 806, 590, 624 is 1363848720.
2. How to calculate the LCM of 717, 806, 590, 624?
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 717, 806, 590, 624.
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}.