Find the LCM of 508, 806, 186, 526, 728 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 508, 806, 186, 526, 728. So, keep reading to learn more.
Given numbers are 508,806,186,526,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,806,186,526,728 is 2261381304.
Find LCM of 508,806,186,526,728 with Prime Factorization
2 | 508, 806, 186, 526, 728 |
2 | 254, 403, 93, 263, 364 |
13 | 127, 403, 93, 263, 182 |
31 | 127, 31, 93, 263, 14 |
127, 1, 3, 263, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 31 x 127 x 1 x 3 x 263 x 14 = 2261381304
Therefore, the lowest common multiple of 508,806,186,526,728 is 2261381304.
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.
508 x 806 x 186 x 526 x 728 = 29162773296384
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.
508 : 1, 2, 4, 127, 254, 508
806 : 1, 2, 13, 26, 31, 62, 403, 806
186 : 1, 2, 3, 6, 31, 62, 93, 186
526 : 1, 2, 263, 526
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,806,186,526,728, is 2.
Now, the common factors can be found like this.
508:2x 2x 127
806:2x 13x 31
186:2x 3x 31
526:2x 263
728:2x 2x 2x 7x 13
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 13x 31 = 6448
Therefore, the value for common factors is 6448.
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 = 29162773296384/(2x6448)
LCM = 29162773296384/12896
LCM = 2261381304
Thus, we can understand that the LCM of 508,806,186,526,728 is 2261381304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 806, 186, 526, 728?
Answer: LCM of 508, 806, 186, 526, 728 is 2261381304.
2. How to calculate the LCM of 508, 806, 186, 526, 728?
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 508, 806, 186, 526, 728.
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}.