Find the LCM of 502, 473, 583, 165 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 502, 473, 583, 165. So, keep reading to learn more.
Given numbers are 502,473,583,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 502,473,583,165 is 188769570.
Find LCM of 502,473,583,165 with Prime Factorization
11 | 502, 473, 583, 165 |
502, 43, 53, 15 |
Multiply the prime numbers at the bottom and the left side.
11 x 502 x 43 x 53 x 15 = 188769570
Therefore, the lowest common multiple of 502,473,583,165 is 188769570.
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.
502 x 473 x 583 x 165 = 22841117970
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.
502 : 1, 2, 251, 502
473 : 1, 11, 43, 473
583 : 1, 11, 53, 583
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,473,583,165, is 1.
Now, the common factors can be found like this.
502:2x 251
473:11x 43
583:11x 53
165:3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 22841117970/(1x121)
LCM = 22841117970/121
LCM = 188769570
Thus, we can understand that the LCM of 502,473,583,165 is 188769570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 502, 473, 583, 165?
Answer: LCM of 502, 473, 583, 165 is 188769570.
2. How to calculate the LCM of 502, 473, 583, 165?
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 502, 473, 583, 165.
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}.