Find the LCM of 527, 663, 845, 507 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 527, 663, 845, 507. So, keep reading to learn more.
Given numbers are 527,663,845,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,663,845,507 is 1335945.
Find LCM of 527,663,845,507 with Prime Factorization
3 | 527, 663, 845, 507 |
13 | 527, 221, 845, 169 |
13 | 527, 17, 65, 13 |
17 | 527, 17, 5, 1 |
31, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 13 x 17 x 31 x 1 x 5 x 1 = 1335945
Therefore, the lowest common multiple of 527,663,845,507 is 1335945.
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.
527 x 663 x 845 x 507 = 149688629415
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.
527 : 1, 17, 31, 527
663 : 1, 3, 13, 17, 39, 51, 221, 663
845 : 1, 5, 13, 65, 169, 845
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,663,845,507, is 1.
Now, the common factors can be found like this.
527:17x 31
663:3x 13x 17
845:5x 13x 13
507:3x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 13x 13x 17 = 112047
Therefore, the value for common factors is 112047.
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 = 149688629415/(1x112047)
LCM = 149688629415/112047
LCM = 1335945
Thus, we can understand that the LCM of 527,663,845,507 is 1335945.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 527, 663, 845, 507?
Answer: LCM of 527, 663, 845, 507 is 1335945.
2. How to calculate the LCM of 527, 663, 845, 507?
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 527, 663, 845, 507.
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}.