Find the LCM of 502, 606, 184, 328, 871 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, 606, 184, 328, 871. So, keep reading to learn more.
Given numbers are 502,606,184,328,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 502,606,184,328,871 is 499730877672.
Find LCM of 502,606,184,328,871 with Prime Factorization
2 | 502, 606, 184, 328, 871 |
2 | 251, 303, 92, 164, 871 |
2 | 251, 303, 46, 82, 871 |
251, 303, 23, 41, 871 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 251 x 303 x 23 x 41 x 871 = 499730877672
Therefore, the lowest common multiple of 502,606,184,328,871 is 499730877672.
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 606 x 184 x 328 x 871 = 15991388085504
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
606 : 1, 2, 3, 6, 101, 202, 303, 606
184 : 1, 2, 4, 8, 23, 46, 92, 184
328 : 1, 2, 4, 8, 41, 82, 164, 328
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,606,184,328,871, is 1.
Now, the common factors can be found like this.
502:2x 251
606:2x 3x 101
184:2x 2x 2x 23
328:2x 2x 2x 41
871:13x 67
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 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 15991388085504/(1x32)
LCM = 15991388085504/32
LCM = 499730877672
Thus, we can understand that the LCM of 502,606,184,328,871 is 499730877672.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 502, 606, 184, 328, 871?
Answer: LCM of 502, 606, 184, 328, 871 is 499730877672.
2. How to calculate the LCM of 502, 606, 184, 328, 871?
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, 606, 184, 328, 871.
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}.