Find the LCM of 503, 727, 816, 931, 692 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 503, 727, 816, 931, 692. So, keep reading to learn more.
Given numbers are 503,727,816,931,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 503,727,816,931,692 is 48060505984848.
Find LCM of 503,727,816,931,692 with Prime Factorization
2 | 503, 727, 816, 931, 692 |
2 | 503, 727, 408, 931, 346 |
503, 727, 204, 931, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 503 x 727 x 204 x 931 x 173 = 48060505984848
Therefore, the lowest common multiple of 503,727,816,931,692 is 48060505984848.
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.
503 x 727 x 816 x 931 x 692 = 192242023939392
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.
503 : 1, 503
727 : 1, 727
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
931 : 1, 7, 19, 49, 133, 931
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,727,816,931,692, is 1.
Now, the common factors can be found like this.
503:503
727:727
816:2x 2x 2x 2x 3x 17
931:7x 7x 19
692:2x 2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 192242023939392/(1x4)
LCM = 192242023939392/4
LCM = 48060505984848
Thus, we can understand that the LCM of 503,727,816,931,692 is 48060505984848.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 503, 727, 816, 931, 692?
Answer: LCM of 503, 727, 816, 931, 692 is 48060505984848.
2. How to calculate the LCM of 503, 727, 816, 931, 692?
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 503, 727, 816, 931, 692.
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}.