Find the LCM of 527, 999, 551, 884, 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 527, 999, 551, 884, 728. So, keep reading to learn more.
Given numbers are 527,999,551,884,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,999,551,884,728 is 211183061544.
Find LCM of 527,999,551,884,728 with Prime Factorization
2 | 527, 999, 551, 884, 728 |
2 | 527, 999, 551, 442, 364 |
13 | 527, 999, 551, 221, 182 |
17 | 527, 999, 551, 17, 14 |
31, 999, 551, 1, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 31 x 999 x 551 x 1 x 14 = 211183061544
Therefore, the lowest common multiple of 527,999,551,884,728 is 211183061544.
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 999 x 551 x 884 x 728 = 186685826404896
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
999 : 1, 3, 9, 27, 37, 111, 333, 999
551 : 1, 19, 29, 551
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,999,551,884,728, is 1.
Now, the common factors can be found like this.
527:17x 31
999:3x 3x 3x 37
551:19x 29
884:2x 2x 13x 17
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 13x 17 = 884
Therefore, the value for common factors is 884.
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 = 186685826404896/(1x884)
LCM = 186685826404896/884
LCM = 211183061544
Thus, we can understand that the LCM of 527,999,551,884,728 is 211183061544.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 527, 999, 551, 884, 728?
Answer: LCM of 527, 999, 551, 884, 728 is 211183061544.
2. How to calculate the LCM of 527, 999, 551, 884, 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 527, 999, 551, 884, 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}.