Find the LCM of 702, 507, 845, 408, 497 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 702, 507, 845, 408, 497. So, keep reading to learn more.
Given numbers are 702,507,845,408,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,507,845,408,497 is 1542111480.
Find LCM of 702,507,845,408,497 with Prime Factorization
2 | 702, 507, 845, 408, 497 |
3 | 351, 507, 845, 204, 497 |
13 | 117, 169, 845, 68, 497 |
13 | 9, 13, 65, 68, 497 |
9, 1, 5, 68, 497 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 9 x 1 x 5 x 68 x 497 = 1542111480
Therefore, the lowest common multiple of 702,507,845,408,497 is 1542111480.
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.
702 x 507 x 845 x 408 x 497 = 60984340588080
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
507 : 1, 3, 13, 39, 169, 507
845 : 1, 5, 13, 65, 169, 845
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,507,845,408,497, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
507:3x 13x 13
845:5x 13x 13
408:2x 2x 2x 3x 17
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 13x 13 = 39546
Therefore, the value for common factors is 39546.
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 = 60984340588080/(1x39546)
LCM = 60984340588080/39546
LCM = 1542111480
Thus, we can understand that the LCM of 702,507,845,408,497 is 1542111480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 507, 845, 408, 497?
Answer: LCM of 702, 507, 845, 408, 497 is 1542111480.
2. How to calculate the LCM of 702, 507, 845, 408, 497?
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 702, 507, 845, 408, 497.
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}.