Find the LCM of 592, 721, 756, 687, 644 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 592, 721, 756, 687, 644. So, keep reading to learn more.
Given numbers are 592,721,756,687,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,721,756,687,644 is 60699351888.
Find LCM of 592,721,756,687,644 with Prime Factorization
2 | 592, 721, 756, 687, 644 |
2 | 296, 721, 378, 687, 322 |
3 | 148, 721, 189, 687, 161 |
7 | 148, 721, 63, 229, 161 |
148, 103, 9, 229, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 148 x 103 x 9 x 229 x 23 = 60699351888
Therefore, the lowest common multiple of 592,721,756,687,644 is 60699351888.
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.
592 x 721 x 756 x 687 x 644 = 142764875640576
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
721 : 1, 7, 103, 721
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
687 : 1, 3, 229, 687
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,721,756,687,644, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
721:7x 103
756:2x 2x 3x 3x 3x 7
687:3x 229
644:2x 2x 7x 23
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 3x 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 142764875640576/(1x2352)
LCM = 142764875640576/2352
LCM = 60699351888
Thus, we can understand that the LCM of 592,721,756,687,644 is 60699351888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 592, 721, 756, 687, 644?
Answer: LCM of 592, 721, 756, 687, 644 is 60699351888.
2. How to calculate the LCM of 592, 721, 756, 687, 644?
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 592, 721, 756, 687, 644.
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}.