Find the LCM of 996, 735, 904, 507, 775 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 996, 735, 904, 507, 775. So, keep reading to learn more.
Given numbers are 996,735,904,507,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,735,904,507,775 is 1444615481400.
Find LCM of 996,735,904,507,775 with Prime Factorization
2 | 996, 735, 904, 507, 775 |
2 | 498, 735, 452, 507, 775 |
3 | 249, 735, 226, 507, 775 |
5 | 83, 245, 226, 169, 775 |
83, 49, 226, 169, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 83 x 49 x 226 x 169 x 155 = 1444615481400
Therefore, the lowest common multiple of 996,735,904,507,775 is 1444615481400.
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.
996 x 735 x 904 x 507 x 775 = 260030786652000
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
904 : 1, 2, 4, 8, 113, 226, 452, 904
507 : 1, 3, 13, 39, 169, 507
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,735,904,507,775, is 1.
Now, the common factors can be found like this.
996:2x 2x 3x 83
735:3x 5x 7x 7
904:2x 2x 2x 113
507:3x 13x 13
775:5x 5x 31
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 5 = 180
Therefore, the value for common factors is 180.
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 = 260030786652000/(1x180)
LCM = 260030786652000/180
LCM = 1444615481400
Thus, we can understand that the LCM of 996,735,904,507,775 is 1444615481400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 996, 735, 904, 507, 775?
Answer: LCM of 996, 735, 904, 507, 775 is 1444615481400.
2. How to calculate the LCM of 996, 735, 904, 507, 775?
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 996, 735, 904, 507, 775.
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}.